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Math review

Total questions: 204

Worksheet time: 3hrs 52mins

Name
Class
Date
1.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
2.

It is a numerical quantity that is assigned to the outcome of an experiment.

a)

Statistics

b)

Probability

c)

Random Variable

d)

Distribution

3.

Two coins are tossed in an experiment. Which of the following list is the sample space?

a)

S= {HH, HT, TH, TT}

b)

S= {HH, TT}

c)

S= { HT, TH, TT}

d)

S= {HH, HT, TT}

4.

TRUE or FALSE: The standard normal distribution of a random variable is a normal distribution with mean =0 and standard deviation =1.

a)

TRUE

b)

FALSE

5.

classify if the distribution in discrete or continuous

1- the number of texts received per week

a)

discrete

b)

continuous

6.

A marketing survey compiled data on the number of cars in households. If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution:

X 0 1 2 3 4 5

P(X) 0.24 0.37 0.20 0.11 0.05 0.03

What is the probability that a randomly chosen household has at least two cars?

a)

0.20

b)

0.29

c)

0.39

d)

0.61

7.

Find the mean of a binomial distribution with n=50 and p=0.4 (μ=np)\left(\mu=np\right)  

a)

50

b)

4

c)

20

d)

10

8.
If you flip one coin and then roll a dice, how many possible outcomes can you get?
a)
6
b)
12
c)
7
d)
0
9.

It is a numerical quantity that is assigned to the outcome of an experiment.

a)

Statistics

b)

Probability

c)

Random Variable

d)

Distribution

10.

It is the set of all possible outcomes in an experiment.

a)

Random Variable

b)

Sample Space

c)

Mean

d)

Data

11.

Two coins are tossed in an experiment. Which of the following list is the sample space?

a)

S= {HH, HT, TH, TT}

b)

S= {HH, TT}

c)

S= { HT, TH, TT}

d)

S= {HH, HT, TT}

12.

Supposed two coins are tossed consecutively and we are interested in the number of heads that will come out. Determine the values of the random variable H (number of heads).

a)

0,2,3,4

b)

0,1,2,3

c)

0,1,2

d)

0,1,2,3,4

13.

Nico label an x- axis with points earned and the corresponding y - axis with the number of players. He plot one against the other and he obtain a bar graph called a what?

(a)  

14.

If you had no idea what the answer to this four option multiple choice was and took a wild guess, what is the probability that you are correct?

(a)  

15.

Which of the following are the properties of a Normal Probability Distribution.

a)

The distribution curve is bell - shaped.

b)

The curve is symmetric about its center, the mean.

c)

The mean, the median, and the mode coincide at the center.

d)

The area under the curve is 1 or 100%

e)

The tails of the curve is asymptotic to the base line.

16.

TRUE or FALSE: The standard normal distribution of a random variable is a normal distribution with mean =0 and standard deviation =1.

a)

TRUE

b)

FALSE

17.

TRUE or FALSE: The area between 0 and a positive value z is the same as the area between 0 and -z.

a)

TRUE

b)

FALSE

18.

TRUE or FALSE: The area that corresponds to z = 2.58 is the same as the area that corresponds to z = -2.58, which is A = 0.4951

a)

TRUE

b)

FALSE

19.

Find the area that corresponds to z = -1.15

(a)  

20.

What is the probability that the value of a standard normal random variable z lies between 0 and 1.28?

(a)  

21.

It is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment.

(a)  

22.

It is a variable whose value is determined by the outcome of a random experiment.

(a)  

23.

It is a random variable whose set of assumed values that is countable.

(a)  

24.

A random variable whose set of assumed values that is uncountable, usually arises from measurement.

(a)  

25.

It is a number which describes the spread of the distribution.

(a)  

26.

The following table represents the probability distribution X, the employment status of adults in a city.

What is the probability that the adults isn't retired?

(a)  

27.

If you select one adult at a random from this community, what is the probability that the adults is employed as part -time?

(a)  

28.

If you select one adult at a random from this community, what is the probability that the adults is working either part - time or full - time? 

(a)  

29.

Two coins are tossed in an experiment. Which of the following list is the sample space?

a)

S= {HH, HT, TH, TT}

b)

S= {HH, TT}

c)

S= { HT, TH, TT}

d)

S= {HH, HT, TT}

30.

Supposed two coins are tossed consecutively and we are interested in the number of heads that will come out. Determine the values of the random variable H (number of heads).

a)

0,2,3,4

b)

0,1,2,3

c)

0,1,2

d)

0,1,2,3,4

31.

If you had no idea what the answer to this four option multiple choice was and took a wild guess, what is the probability that you are correct?

a)

1

b)

1/2

c)

1/3

d)

1/4

32.

Which of the following are the properties of a Normal Probability Distribution.

a)

The distribution curve is bell - shaped.

b)

The curve is symmetric about its center, the mean.

c)

The mean, the median, and the mode coincide at the center.

d)

The area under the curve is 1 or 100%

e)

All of the above

33.

TRUE or FALSE: The standard normal distribution of a random variable is a normal distribution with mean =0 and standard deviation =1.

a)

TRUE

b)

FALSE

34.

TRUE or FALSE: The area between 0 and a positive value z is the same as the area between 0 and -z.

a)

TRUE

b)

FALSE

35.

TRUE or FALSE: The area that corresponds to z = 2.58 is the same as the area that corresponds to z = -2.58, which is A = 0.4951

a)

TRUE

b)

FALSE

36.

Find the area that corresponds to z = -1.15

a)

0.0596

b)

0.3749

c)

0.3729

d)

0.2088

37.

What is the probability that the value of a standard normal random variable z lies between 0 and 1.28?

a)

29.37%

b)

36.37%

c)

39.97%

d)

49.37%

38.

It is a variable whose value is determined by the outcome of a random experiment.

a)

Random Variable

b)

Discrete

c)

Continuous

d)

Quantitative

39.

It is a random variable whose set of assumed values that is countable.

a)

Discrete Variable

b)

Continuous Variable

c)

Qualitative

d)

All of the above

40.

A random variable whose set of assumed values that is uncountable, usually arises from measurement.

a)

Discrete Variable

b)

Continuous Variable

c)

Qualitative Data

d)

All of the above

41.

It is a number which describes the spread of the distribution.

a)

Statistics

b)

Variance

c)

Standard Deviation

d)

Sigma

42.

If you select one adult at a random from this community, what is the probability that the adults is employed as part -time?

a)

10%

b)

65%

c)

18%

d)

7%

43.

If you select one adult at a random from this community, what is the probability that the adults is working either part - time or full - time? 

a)

17%

b)

18%

c)

65%

d)

75%

44.
_______ is the entire group of objects or individuals considered for a survey.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
45.

These kind of observations are made using instruments such as rulers, balances and thermometers.

a)

qualitative

b)

quantitative

46.

These kind of observation use your senses to observe results.

a)

qualitative

b)

quantitative

47.

Probability is...

a)

the likelihood of the occurrence of an event

b)

the name given to any controlled and repeatable process

c)

a set of possible outcomes resulting from a particular experiment

d)

a single specific possible result of an experiment

48.

An Event is...

a)

the likelihood of the occurrence of an event

b)

the name given to any controlled and repeatable process

c)

a set of possible outcomes resulting from a particular experiment

d)

a single specific possible result of an experiment

49.

An Outcome is...

a)

the likelihood of the occurrence of an event

b)

the name given to any controlled and repeatable process

c)

a set of possible outcomes resulting from a particular experiment

d)

a single specific possible result of an experiment

50.

An Experiment is...

a)

the likelihood of the occurrence of an event

b)

the name given to any controlled and repeatable process

c)

a set of possible outcomes resulting from a particular experiment

d)

a single specific possible result of an experiment

51.

An Independent Event is...

a)

the likelihood of the occurrence of an event

b)

not affected by previous events

c)

a set of possible outcomes resulting from a particular experiment

d)

affected by previous events

52.

An Dependent Event is...

a)

the likelihood of the occurrence of an event

b)

not affected by previous events

c)

a set of possible outcomes resulting from a particular experiment

d)

affected by previous events

53.
Identify the Population:
Gwinnett County Public Schools randomly selected 230 teachers to find out which technology resource is the most effective. 30 teachers chose Safari Montage, 45 selected Learn Zillion, 100 chose Ed Puzzle, and 55 chose Kahoot. GCPS concluded that all teachers prefer Ed Puzzle.
a)
230 Teachers
b)
All teachers
c)
100 Teachers
d)
55 Teachers
54.

Given a data set with a z score of 4.2, a mean of 3.2 and a standard deviation of 2.8, what is the data point?

a)

11.76

b)

14.96

c)

15.97

d)

-14.99

55.

Given a data point 1.2, a standard deviation of 5.2 and a z-score of -2.0. What is the mean?

a)

11.6

b)

-11.6

c)

3

d)

1

56.
The time it takes you to drive to school.
a)
Continuous
b)
Discrete
57.
The number of books in your locker.
a)
Continuous
b)
Discrete
58.
The time it takes for a light bulb to burn out.
a)
Continuous
b)
Discrete
59.

Find the mean (expected value) of the probability distribution.

a)

85

b)

83.2

c)

87.1

d)

84.4

60.

Which of the following is an example of a discrete variable?

a)

Number of red marbles in the basket

b)

Distance traveled between tricycles

c)

Height of the students in a certain class

d)

Weight of student

61.

Let X be the time it takes to finish a one-hour exam. What are the possible values of X (in hours)?

a)

x1x\le1

b)

0x10\le x\le1

c)

0<x<10<x<1

62.

If a fair coin is tossed twice, what is the probability of seeing heads exactly once?

a)

3/4

b)

1/3

c)

1/2

d)

2/3

63.

Describe the figure.

a)

Normal Curve

b)

Normal Histogram

64.

A normally distributed set of data's graph resembles:

a)

A fire hydrant

b)

A bath tub

c)

A bell

d)

A tree

65.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 
a)
-5
b)
-2
c)
2
d)
5
66.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False

67.

Total area under the curve of Normal Distribution is equal to ______ .

a)

0.5

b)

1

c)

2

d)

None of the above

68.

a)

0.5404

b)

0.4806

c)

0.5747

d)

0.6802

e)

0.3418

69.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?

a)

68%

b)

81.5%

c)

16%

d)

34%

70.

Which of the following is a discrete probability distribution?

a)

The average amount of electricity consumed

b)

The number of patients in a hospital

c)

The amount of paint used in repainting a building

d)

The average weight of female athletes

71.

It is a characteristic that can assume different values.

a)

probability distribution

b)

variable

c)

discrete

d)

nominal

72.

It consist of the values of the random variable can assume and the corresponding probabilities.

a)

Probability

b)

Frequency Distribution

c)

Probability Distribution

d)

Distribution

73.

Which of the following best describes the continuous variable?

a)

Expressed as a whole

b)

Countable

c)

weight

d)

Uncountable

74.

It is the list of all possible outcomes.

a)

probability distribution

b)

disctrete variable

c)

possible outcomes

d)

sample space

75.

Process of collecting, analyzing, interpreting and presenting data.

a)

probability

b)

statistics

c)

variable

d)

none of the above

76.

Find the mean of the probability distribution below.

a)

2.1

b)

2.2

c)

2.3

d)

2.4

77.

What is the percentage of data that falls within two standard deviations of the mean?

a)

95%

b)

68%

c)

100%

d)

99.7%

78.

The Empirical (68-95-99.7) Rule can be applied only if data is ....

a)

Normally Distributed

b)

Skewed

c)

Uniform

d)

Symmetric

79.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
80.
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?
a)
68%
b)
34%
c)
16%
d)
2.5%
81.

What percent of people within 3 standard deviations of the mean?

a)

99.7

b)

34

c)

68

d)

95

82.

What percent of people within 2 standard deviations of the mean?

a)

99.7

b)

34

c)

68

d)

95

83.

What percent of people within 1 standard deviation of the mean?

a)

99.7

b)

34

c)

68

d)

95

84.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
85.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
86.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
87.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

88.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

89.
If Gonzalo's score is 87, the class average is 82, and the SD is 4, what is Gonzalo's Z-score?
a)
-1.25
b)
+1.25
c)
+1.20
d)
+1.02
90.
A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?
a)
82
b)
88
c)
100
d)
118
91.
How many students are between 48 and 51 inches tall?
a)
14
b)
8
c)
2
d)
0
92.
A manufacturer contracts to supply ball bearings with diameters between 24.60mm and 25.4mm. Product analysis indicates that the ball bearings manufactured have diameters that are normally distributed with a mean of 25.10mm and a standard deviation of .20mm. What percentage of ball bearings fail to satisfy the contract specifications?
a)
92.7%
b)
7.3%
c)
48.2%
d)
33.2%
93.

Given a data set with a z score of 4.2, a mean of 3.2 and a standard deviation of 2.8, what is the data point?

a)

11.76

b)

14.96

c)

15.97

d)

-14.99

94.

Given a data point 1.2, a standard deviation of 5.2 and a z-score of -2.0. What is the mean?

a)

11.6

b)

-11.6

c)

3

d)

1

95.
The time it takes you to drive to school.
a)
Continuous
b)
Discrete
96.
The number of books in your locker.
a)
Continuous
b)
Discrete
97.
The time it takes for a light bulb to burn out.
a)
Continuous
b)
Discrete
98.

Is this a probability distribution?

a)

No

b)

Yes

99.

Find the mean (expected value) of the probability distribution.

a)

85

b)

83.2

c)

87.1

d)

84.4

100.

Which of the following is an example of a discrete variable?

a)

Number of red marbles in the basket

b)

Distance traveled between tricycles

c)

Height of the students in a certain class

d)

Weight of student

101.

Let X be the time it takes to finish a one-hour exam. What are the possible values of X (in hours)?

a)

x1x\le1

b)

0x10\le x\le1

c)

0<x<10<x<1

102.

What is the sample space suppose two coins are tossed?

a)

{HH,HT,TH,TT}

b)

{H,T}

c)

{HH,TT}

d)

{HHH,TTT, HHT, HTH, HTT, THH, THT,TTH}

103.

If a fair coin is tossed twice, what is the probability of seeing heads exactly once?

a)

3/4

b)

1/3

c)

1/2

d)

2/3

104.

Describe the figure.

a)

Normal Curve

b)

Normal Histogram

105.

A normally distributed set of data's graph resembles:

a)

A fire hydrant

b)

A bath tub

c)

A bell

d)

A tree

106.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 
a)
-5
b)
-2
c)
2
d)
5
107.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False

108.

Total area under the curve of Normal Distribution is equal to (a)   .

109.

a)

0.5404

b)

0.4806

c)

0.5747

d)

0.6802

e)

0.3418

110.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 75 and 82?

a)

68%

b)

81.5%

c)

16%

d)

34%

111.

A coin is tossed three times. Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin.

  1. list the elements of the sample space S for the three tosses of the coin; and
  2. list all possible values of the random variable W.


(a)  

112.

Classify the random variables as DISCRETE or CONTINUOUS.


The number if automobile accidents each year in Lala-an, San Jose.

a)

Discrete

b)

Continuous

113.

Classify the random variables as DISCRETE or CONTINUOUS.


The length of time to play mobile legends

a)

DISCRETE

b)

CONTINUOUS

114.

Classify the random variables as DISCRETE or CONTINUOUS.


The amount of milk produced yearly by a particular cow

a)

DISCRETE

b)

CONTINUOUS

115.

Suppose that your subject teacher is selecting four Senior High School students at random to be interviewed. Let M be Male and F be Female. Let X be the random variable representing the number of female student selected by the teacher.

on your paper create a table presenting the sample space, possible outcome, X, probability distribution with histogram.

(a)  

116.

In your own words, What is the difference between Qualitative and Quantitative Data?

4 lines
117.

What method of collecting data is often called the interview method?

(a)  

118.

What method of collecting data is purely based on the subjective remarks of the observer?

(a)  

119.

A Researcher wants to conduct a study in a university with 10,000 students. if he wants to use 7% margin of error, how many students must he take as his sample? show solutions on a piece of paper

a)

100 students

b)

200 students

c)

500 students

d)

700 students

120.

in a certain study, 200 samples are taken from the population of 100,000 individuals. the population is divided into strata based on their school. if the distribution of population is as follows CLCST 50,000 students; OLFU 20,000 students and DHVSU 30,000 students. find the sample units per stratum. (show solution on a piece of paper)



(a)  

121.

The shape of the Normal Curve is

a)

Circular

b)

Bell Shaped

c)

Spiked

d)

Flat

 

122.

What is the value in the middle if the data are arrayed from the lowest to the highest value?

a)

Mean

b)

Median

c)

Mode

d)

Variance

123.

Which measures of central tendency is obtained by calculating the sum of values and dividing this figure by dividing the number of values there are in the data set?

a)

Mean

b)

Median

c)

Mode

d)

Variance

124.

What refers to the process of listing all the values of a random variables X together with its associated probability?

a)

random distribution

b)

Normal distribution

c)

Variance

d)

Probability distribution

125.

In probability distribution, the sum of probabilities must be equal  to

a)

1/2

b)

2

c)

-1

d)

1

126.

What is the mode number of breaks taken by a worker  d  during a 10 day period given the following data?    3 ,5 ,9 ,3 ,2 ,2 ,3 ,3 ,1 ,6.

a)

2

b)

3

c)

1

d)

5

127.

The following are the ages of the first ten students who  enrolled in a certain college. Find the mean.         

23 ,21 ,18 ,17 ,19 ,21 ,20 ,18 ,19 ,24. 

a)

2

b)

19

c)

20

d)

21

128.

What refers to the number that tells us how clustered or spread out the values about the mean of a data set?

a)

Standard Deviation

b)

Mean

c)

Median

d)

Mode

129.

Which of the following statistics measures the most frequently occurring value in a set of data?

a)

Mean

b)

Median

c)

Mode

d)

Variance

130.

What is the arithmetic mean of values 2 ,7 ,9 ,8, 3, 18,2 ?

a)

7

b)

8

c)

9

d)

11

131.

What is the standard deviation of the sample of 81 observations With a variance of 121?

a)

11

b)

0

c)

242

d)

6561

132.

Random variables are classified into discrete and  

 continuous random variable

a)

TRUE

b)

FALSE

133.

P(X=x) means the probability that the

random variable is equal to the specific  value of x

a)

TRUE

b)

FALSE

134.

A discrete random variable assigns a whole number to each possible outcome of an experiment.

a)

TRUE

b)

FALSE

135.

The mean of the normal distribution lies at the tail of the normal curve

a)

TRUE

b)

FALSE

136.

Normal Distribution is symmetric is about the variance

a)

TRUE

b)

FALSE

137.

The total area of a bell curve is equal to 0.5

a)

TRUE

b)

FALSE

138.

The ages of the population of a town are normally distributed with mean of 43 and standard deviation of 14. The town has a population of 5,000. 

What percentage of ages are between 29 and 43? 

a)

34%

b)

68%

c)

13.5%

d)

95%

139.

The ages of the population of a town are normally distributed with mean of 43 and standard deviation of 14. The town has a population of 5,000. 

What percentage of ages are between 57 and 71? 

a)

13.5%

b)

50%

c)

47.5%

d)

34%

140.

The ages of the population of a town are normally distributed with mean of 43 and standard deviation of 14. The town has a population of 5,000. 

ow many people ages between 15 and 43?

a)

2375

b)

2365

c)

2385

141.

Which of the following falls under qualitative data?

a)

gender of a person

b)

average weight of a baby

c)

age of a woman

d)

height of a man

142.

Which of the following falls under quantitative data?

a)

temperature of an object

b)

color of the eye

c)

taste of an ice cream

d)

citizenship

143.

A variable whose value is determined by a random experiment.

a)

random experiment

b)

random variable

c)

statistics

d)

probability

144.

It deals with predicting the likelihood of future events,

a)

random experiment

b)

random variable

c)

statistics

d)

probability

145.

It involves the analysis of the frequency of past events.

a)

random experiment

b)

random variable

c)

statistics

d)

probability

146.

These are variables that are countable in a finite amount of time.

a)

discrete

b)

continuous

c)

tally

d)

events

147.

It can take on an unlimited number of values between the lowest and highest points of measurement.

a)

discrete

b)

continuous

c)

tally

d)

events

148.

It has two or more categories,

but there is no intrinsic order to the

categories.

a)

nominal

b)

interval

c)

ratio

d)

ordinal

149.

It is a type that shows a clear

Ordering of values.

a)

nominal

b)

ordinal

c)

ratio

d)

interval

150.

It is a variable where the difference between the two values is meaningful. It has no Absolute Zero.

a)

nominal

b)

interval

c)

ratio

d)

ordinal

151.

It is a variable that has all the properties of interval variable, but with a clear definition of zero.

a)

nominal

b)

ordinal

c)

interval

d)

ratio

152.

Tell whether given variable is nominal, interval, interval, or ratio. AGE

a)

nominal

b)

ordinal

c)

interval

d)

ratio

153.

Tell whether given variable is nominal, interval, interval, or ratio. TEMPERATURE

a)

nominal

b)

ordinal

c)

interval

d)

ratio

154.

Tell whether given variable is nominal, interval, interval, or ratio. GENDER

a)

nominal

b)

interval

c)

ratio

d)

ordinal

155.

It is the entire group that you want to draw conclusions about.

a)

population

b)

variable

c)

conclusion

d)

sample

156.

It is the specific group that you will collect data from.

a)

population

b)

sample

c)

variable

d)

conclusion

157.

It is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma).

a)

variance

b)

standard deviation

c)

census

d)

probability mass function

158.

The following is a property of the bell curve except:

a)

it is asymmetric

b)

The mean, mode and median are all equal

c)

The total area under the curve is 1

d)

it is asymptotic

159.

This formula is used to find ________________.

a)

sample variance

b)

sample standard deviation

c)

sample mean

d)

z-score

160.

How many sample space can you get from flipping 4 coins?

a)

8

b)

16

c)

24

d)

32

161.

is a type of inferential statistic used to determine if there is a significant difference between the means of two groups, which may be related in certain features.

(a)  

162.

What is half of the total area of the normal curve?

a)

0

b)

0.5

163.

The Philippine Red Cross says that about 11% of the Philippines population has Type B Blood. A blood drive is being held at your school. What is the probability that exactly  5 of the first 10 blood donors has Type B Blood? Solve also for the mean, variance, and standard deviation.

a)

0.22%

b)

0.23%

c)

0.24%

d)

0.25%

164.

The Philippine Red Cross says that about 11% of the Philippines population has Type B Blood. A blood drive is being held at your school. What is the probability that exactly  5 of the first 10 blood donors has Type B Blood? Solve also for the mean, variance, and standard deviation.

a)

1.1

b)

2.2

c)

3.3

d)

4.4

165.

The Philippine Red Cross says that about 11% of the Philippines population has Type B Blood. A blood drive is being held at your school. What is the probability that exactly  5 of the first 10 blood donors has Type B Blood? Solve also for the mean, variance, and standard deviation.

a)

0.976

b)

0.977

c)

0.978

d)

0.979

166.

The Philippine Red Cross says that about 11% of the Philippines population has Type B Blood. A blood drive is being held at your school. What is the probability that exactly  5 of the first 10 blood donors has Type B Blood? Solve for the mean, variance, and standard deviation.

a)

0.99

b)

0.88

c)

0.77

d)

0.66

167.

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 8 people have their pets bathed professionally. Solve also for mean, variance, and standard deviation.

a)

3.76%

b)

4.76%

c)

5.76%

d)

6.76%

168.

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 8 people have their pets bathed professionally. Solve also for mean, variance, and standard deviation.

a)

2.5

b)

3.5

c)

4.5

d)

5.5

169.

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 8 people have their pets bathed professionally. Solve also for mean, variance, and standard deviation.

a)

3.375

b)

4.475

c)

5.575

d)

6.675

170.

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 8 people have their pets bathed professionally. Solve also for mean, variance, and standard deviation.

a)

0.83

b)

1.84

c)

2.85

d)

3.86

171.

What refers to an intelligent guess about a population proportion?

a)

Hypothesis

b)

Test statistic

c)

Decision

d)

Interpretation

172.

Which of the following can be rejected by a statistical test?

a)
b)
c)
d)
173.

What do you call a number that describes a population characteristic?

a)

sample statistic

b)

parameter

c)

variable

d)

decimal

174.

Rejection of the null hypothesis is a conclusive proof that the alternative hypothesis is?

a)

True

b)

False

c)

Either

d)

Neither

175.

What variables that are being predicted or explained?

a)

Independent variables

b)

Dependent variables

c)

Controlled variables

d)

Moderator variables

176.

Which of the following is a discrete random variable?

a)

The weight of Grade 11 students

b)

The number of patients in a hospital

c)

The amount of patients in a hospital

d)

The amount of paint used in repainting a building

177.

If a sample size is 30, which can be used to test a hypothesis about the mean?

a)

t-test

b)

z-test

c)

Either of the two

d)

Neither of the two

178.

Which of the following is not commonly referred to as a measure of central tendency for the normal distribution?

a)

mean

b)

median

c)

midrange

d)

mode

179.

What do you call a continuous, symmetric, and bell-shaped distribution of a variable?

a)

graph

b)

pie chart 

c)

line graph

d)

normal curve

180.

What is the graphical representation of bivariate data?

a)
b)
c)
d)
181.

What do you call a random variable with possible values that form a finite or countable set?

a)

continuous

b)

discrete

c)

finite

d)

infinite

182.

What term is used to describe the average value of a discrete random variable over numerous trials of an experiment?

a)

mean

b)

probability

c)

standard deviation

d)

variance

183.

Which of the following represents the amount of spread, dispersion, or variability of the items in a distribution?

a)

mean or expected value

b)

median and mode

c)

outcomes and probability distribution

d)

variance and standard deviation

184.

Which of the following is also equal to the square root of the variance?

a)

mean

b)

median

c)

probability

d)

standard deviation

185.

How would you interpret a very small variance or standard deviation but not equal to zero?

a)

The values of the random variables are farther from the mean.

b)

The values of the random variables are nearer to the mean.

c)

The values of the random variables are equal to the mean.

d)

The values of the random variables have no relationship with the mean.

186.

Which of the following shows most likely the largest possible variance or variability?

a)

number of girls in a randomly selected three-child family

b)

number of newborn babies per minute.

c)

number of Oreo cookies inside a 133 grams pack from different

branch of 711 stores

d)

number of patients who are positive with COVID-19 in different

hospitals

187.

Which of the following data shows most likely the smallest possible variance or variability?

a)

number of books in different branch of National Bookstore

b)

number of books inside a pack bag of grade 11 students

c)

number of books inside the library of different universities

d)

number of books inside the library of different households

188.

What formula is described by σ2 = ∑[x2 * P(x)] − u2?

4 lines
189.

Which of the following is NOT a property of the variance?

a)

The variance is not equal to the standard deviation.

b)

A small variance means that the distribution of the random variable is narrowly concentrated around the mean.

c)

A large variance means that the distribution is spread out, with some chance of observing values at some distance from the mean.

d)

The value of the variance is less than zero.

190.

Which of the following represents the mean value of a discrete random variable?

a)

Expected value

b)

Median

c)

Standard deviation

d)

Standard deviation

191.

Which of the following is the correct formula to find the expected value of the probability distribution?

a)

E(x) = ∑[x ∙ P(x)]

b)

E(x) = ∑[x2∙ P(x)]

c)

E(x) = ∑[x2 ∙ P(x)] − u2

192.

The total area under the normal curve is

a)
b)
c)
d)
193.

The normal curve is bell-shaped

a)

x

b)

/

c)

sometimes

d)

depends

194.

Which part of the normal curve is extended indefinitely in both directions along the horizontal axis, approaching but never touching it?

a)
b)
c)
d)
195.

According to the property of a Normal Probability Distribution, the mean is equal to what measures of central tendency?

a)

median

b)

mode

c)

both A and B

d)

only A

196.

Which of the following rules state that almost all data fall within the 1, 2, and 3 Standard Deviation of the Mean when the population is normally distributed?

a)

Empirical rule

b)

Lottery rule

c)

Pascal’s triangle rule

d)

Sampling rule

197.

It is used to describe the entire population being studied.

a)

Mean

b)

Population

c)

Statistics

d)

Parameter

198.

A die is rolled. Find the probability that an even number is obtained.

a)

1/2

b)

1/3

c)

3/6

d)

{2,4,6}

199.

Find the mean of:

1, 3, 4, 6, 6, 7, 8

a)

7

b)

5

c)

35

d)

1/7

200.

WHO IS YOUR PRESIDENTIAL BET?

a)

LENI ROBREDO

b)

BONGBONG MARCOS JR.

c)

MANNY PACQUIAO

d)

PING LACSON

e)

ISKO MORENO

201.

The poll on presidential bet is an example of _______.

a)

Population

b)

Parameter

c)

Sample

d)

Statistic

202.

In the bell curve of the normal distribution, the middle part represents the (a)   .

203.

The MEAN in the standard normal distribution represents what value?

(a)  

204.

THE BELL CURVE SHOWS WHAT KIND OF DISTRIBUTION?

a)

below z = - 1

b)

below z = -1 and

z = 3

c)

above z = - 1

d)

above z = -1 and

z = 3