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BQ 2024 STATISTICS AND PROBABILITY

Total questions: 177

Worksheet time: 3hrs 58mins

Name
Class
Date
1.
Emma is playing a spinning game using the spinner shown. She gets one spin and needs green to win. What's probability that she will NOT win?
a)
.25
b)
.75
c)
.70
d)
40
2.
  Which of the following describes theoretical probability?
a)
a.  Perform an experiment to determine the probability
b)
a.      Determining the expected probability of an event
c)
a.  Perform a simulation and count the number of possible outcomes
d)
a.  Use trials to count the number of desired outcomes
3.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
4.
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
5.
Find the theoretical probability of NOT landing on yellow if you spin the spinner.
a)
1/8
b)
7/8
c)
1
d)
7
6.
How many people watched more than 6 hours of TV?
a)
10
b)
5
c)
20
d)
17
7.
How many employees have a salary less than $22,000?
a)
50
b)
350
c)
0
d)
10
8.
How many people watched more than 25 hours of TV last week?
a)
0
b)
10
c)
38
d)
42
9.
Mr. Semo is making a histogram to show the scores on the last science test. He first lists the scores in a stem-and-leaf plot. How many units tall should the bar be for the interval 70-79?
a)
2
b)
5
c)
9
d)
11
10.
How many people went to the amusement park fewer than 3 times?
a)
1
b)
2
c)
10
d)
8
11.
a)

A

b)

B

c)

C

d)

D

12.

The amount of each item sold at the bake sale was recorded in a line plot. Which histogram represents the same data represented in the line plot?

a)
b)
c)
d)
13.

During the baseball season, the total number of home runs each player made was recorded. Which histogram represents the same data shown in the circle graph?

a)
b)
c)
d)
14.

During the baseball season, the total number of home runs each player made was recorded. Which circle graph represents the same data shown in the histogram?

a)
b)
c)
d)
15.
as the number of trials in an experiment increases, the experimental probability of an event approaches the theoretical probability of the same event, meaning the difference between the experimental and theoretical probability will be closer to zero 
a)
fundamental counting principal 
b)
independent event
c)
inference
d)
law of large numbers
16.

concerned with predicting chances, especially the occurrence of an event.

a)

Algebra

b)

Geometry

c)

Probability

d)

Statistics

17.

Refers to set of all possible outcomes from the experiment and said to be the outcome space.

a)

Event

b)

Space

c)

Simple space

d)

Sample space

18.

refers to the subset of the sample space.

a)

Event

b)

Space

c)

Simple space

d)

Sample space

19.

it is the numerical value that describes the likelihood that an event will happen or not.

a)

statistics

b)

probability of an event

c)

geometry

d)

event

20.

How many sample spaces do we have on a standard deck of card?

a)

52

b)

12

c)

36

d)

40

21.

How many sample spaces do we have if we toss two coins?

a)

1

b)

2

c)

3

d)

4

22.

what is the probability that the "prime sum" will occur if we roll a pair of dice? convert your answer into percent form

a)

100%

b)

3.80%

c)

3.85%

d)

90%

23.

The following are few connections of Probability in real life except.

a)

Lotto final draw

b)

Covid-19 transmission

c)

Rolling a dice and tossing a coin simultaneously.

d)

Having fun with a close friends

24.

1 probability pertains to the event will certain to happen, while 0 probability is __________ to happen

a)

Certain

b)

Possible

c)

Impossible

d)

Attainable

25.

in computing the probability of simple event we can use the formula _____________.

a)

P(E) = n(S)n(E)\frac{n\left(S\right)}{n\left(E\right)}

b)

P(E) = n(E)n(S)\frac{n\left(E\right)}{n\left(S\right)}

c)

P(E) = n(E)n(s)\sqrt{\frac{n\left(E\right)}{n\left(s\right)}}

d)

P(E) = n(S)n(E)\sqrt{\frac{n\left(S\right)}{n\left(E\right)}}

26.
Emma is playing a spinning game using the spinner shown. She gets one spin and needs green to win. What's probability that she will NOT win?
a)
.25
b)
.75
c)
.70
d)
40
27.
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
28.
How many people watched more than 6 hours of TV?
a)
10
b)
5
c)
20
d)
17
29.
How many employees have a salary less than $22,000?
a)
50
b)
350
c)
0
d)
10
30.

During the baseball season, the total number of home runs each player made was recorded. Which histogram represents the same data shown in the circle graph?

a)
b)
c)
d)
31.

Refers to set of all possible outcomes from the experiment and said to be the outcome space.

a)

Event

b)

Space

c)

Simple space

d)

Sample space

32.

It is concerned with predicting chances, especially the occurrence of an event.

a)

Algebra

b)

Geometry

c)

Probability

d)

Statistics

33.

How many sample spaces do we have on a standard deck of card?

a)

52

b)

12

c)

36

d)

40

34.

in computing the probability of simple event we can use the formula _____________.

a)

P(E) = n(S)n(E)\frac{n\left(S\right)}{n\left(E\right)}

b)

P(E) = n(E)n(S)\frac{n\left(E\right)}{n\left(S\right)}

c)

P(E) = n(E)n(s)\sqrt{\frac{n\left(E\right)}{n\left(s\right)}}

d)

P(E) = n(S)n(E)\sqrt{\frac{n\left(S\right)}{n\left(E\right)}}

35.

what is the probability that the "prime sum" will occur if we roll a pair of dice? convert your answer into percent form

a)

100%

b)

41.80%

c)

41.67%

d)

70%

36.

Mr. Incredible randomly chooses crumpled up paper from a bag. The colors of the papers are: 1 blue, 2 red, 3 purple, and 8 green. Find the probability of choosing a green paper.

a)

P(green) = 1/2

b)

P(green) = 3/4

c)

P(green) = 8/15

d)

P(green) = 4/7

37.

Frozone randomly chooses a block from a bag. The bag contains 1 blue, 2 red, 3 purple, and 8 green blocks. Find the probability of not choosing a blue block.

a)

P(not blue) = 1/14

b)

P(not blue) = 13/14

c)

P(not blue) = 14/15

d)

P(not blue) = 1/7

38.

On lined paper draw a tree diagram to find the total number of outcomes of soccer uniforms for Dash.

Jersey: black, white, red Shorts: Nike, Adidas

Socks: solid, stripes

a)

20 possible outcomes

b)

7 possible outcomes

c)

12 possible outcomes

d)

10 possible outcomes.

39.

The Incredible family and Frozone are playing games. There is a spinner with numbers 1-6 and a coin. What is the probability of spinning an even number and flipping tails?

a)

P(even, tails) = 1/2

b)

P(even, tails) = 1/4

c)

P(even, tails) = 2/3

d)

P(even, tails) = 3/4

40.

A bag contains 3 red marbles, 5 green marbles, 3 blue marbles, and 7 purple marbles. Bailey pulled a purple marble from the bag and did not replace it. What is the probability that he will select a red marble next?

a)

1/6

b)

1/18

c)

3/17

d)

6/11

e)

6/17

41.

It is the selection of samples based on fixed number or quota set of the study.

a)

Cluster sampling

b)

Sampling

c)

Quota sampling

d)

Qouta sampling

42.

It is the standard amount of difference between sample mean and population mean.

a)

Standard error of the mean

b)

Standard normal Distribution

c)

Normal random variable

d)

Standard score

43.

It is the systematic recording of information of each element of the population.

a)

Statistic

b)

Sampling

c)

Sample

d)

Census

44.

A score used to make comparisons across individuals or across variables possible.

a)

Sampling

b)

Census

c)

Sample

d)

Standard score

45.

It States that “as the sample size becomes bigger, the sampling distribution of the sample mean can be approximated by a normal probability distribution”.

a)

Unbiased Estimator

b)

Central Limit Theorem

c)

Sampling frame

d)

Multi-stage sampling

46.

It is the totality of all elements of the focus of a study.

a)

Population

b)

Target population

c)

Parameter

d)

Statistic

47.

It is the probability distribution of the sample means.

a)

Standard normal Variable

b)

Sampling distribution of mean

c)

Sampling distribution

d)

Standard normal distribution

48.

It is a characteristic of the population.

a)

Population

b)

Statistic

c)

Parameter

d)

Census

49.

It is the selection of samples based on accessibility to the researcher.

a)

Convenience sampling

b)

Pure or random sampling

c)

Purposive sampling

d)

Snowball sampling

50.

In this method, the population is divided into stratum, and then get the percentage share of each stratum.

a)

Stratified proportional sampling

b)

Snowball sampling

c)

Cluster Sampling

d)

Quota Sampling

51.

It is a set of numerical values that is normally distributed and can be standardized by subtracting the population mean from the value of X and dividing the result by the population standard deviation.

a)

Standard error of the mean

b)

Standard normal distribution of mean

c)

Standard normal distribution

d)

Normal random variable x

52.

It is the population chosen to participate in a study.

a)

Sample

b)

Sampling

c)

Parameter

d)

Population

53.

Every member of the population has an equal chance of being chosen as the sample.

a)

Purposive sampling

b)

Cluster sampling

c)

Pure or Random sampling

d)

Convenience sampling

54.

It is the selection of samples based on criteria set by the researcher.

a)

Quota sampling

b)

Stratified proportional sampling

c)

Pure or Random sampling

d)

Purposive sampling

55.

It is the selection of samples through referrals made by people who possess characteristics that are of interest to the researcher.

a)

Snowball sampling

b)

Convenience sampling

c)

Multi-stage sampling

d)

Cluster sampling

56.

It is a characteristic of the sample.

a)

Statistic

b)

Parameter

c)

Statistics

d)

Sample

57.

It is a list of all elements in the target population.

a)

Statistic

b)

Sample

c)

Sampling frame

d)

Sampling

58.

The selection of samples where the target population is first divided into cluster, and then clusters are randomly chosen from where samples are taken.

a)

Multi-stage sampling

b)

Cluster sampling

c)

Multi-stage sampling

d)

Convenience sampling

59.

Average value determined over many different samples which is equal to the population parameter.

a)

Unbiased estimator

b)

Standard score

c)

Sampling frame

d)

Sampling distribution

60.

The selection of samples where the sampling is done in stages (levels) using smaller and smaller sampling units at each stage.

a)

Multi-stage sampling

b)

Cluster sampling

c)

Quota sampling

d)

Snowball sampling

61.

It is a distribution of sample characteristics obtained from all possible samples of a definite size from s population.

a)

Standard normal distribution

b)

Sampling distribution of mean

c)

Sampling distribution

d)

Standard error of the mean

62.

It is a normal random variable with a mean of 0 and standard deviation of 1.

a)

Standard Normal Variable

b)

Stratified proportional sampling

c)

Standard score

d)

Sampling distribution of mean

63.

It is a subset of the population chosen to participate in a study.

a)

Sampling Frame

b)

Sample

c)

Sampling

d)

Snowball Sampling

64.

It is the process of selecting samples from a target population.

a)

Census

b)

Parameter

c)

Statistic

d)

Sampling

65.

The selection of samples based on fixed number or quota set of the study.

a)

Quota sampling

b)

Cluster sampling

c)

Convenience sampling

d)

Purposive sampling

66.
_______ is a part of a group being surveyed.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
67.

What is the mean of the following list of numbers?


9, 9, 14, 7, 12, 8, 11, 19, 15, 11

a)

9

b)

10

c)

11.5

d)

12.5

68.

What is the median of the following list of numbers?


9, 9, 14, 7, 12, 8, 11, 19, 15, 11

a)

9

b)

11

c)

10

d)

12

69.
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
70.

The data set: 12, 9, 10, 8, 1, 10, 6

What is the median?

a)

8

b)

9

c)

10

71.

The data set: 12, 9, 10, 8, 1, 10, 6

What is the mode?

a)

10

b)

8

c)

7

d)

5

72.

The bakery has three donuts on the shelf:

Glazed -- 75

Chocolate -- 10

Sprinkles -- 15

What is the probability someone randomly selects glazed? Make sure you simplify your fraction.

a)

75/100

b)

3/4

c)

75

d)

4/3

73.

y = mx + b


Which letter in this equation stands for the y-intercept?

a)

y

b)

m

c)

x

d)

b

74.

Which formula gives the Probability distribution shown by the table?


a)

P(x)= 1/x              

b)

P(x)= x/6 

c)

P(x)= 6/x       

d)

P(x)= 1/6x

75.

If P(x)= x/6, what are the possible values of x to be a probability?

a)

0,2,3

b)

1,2,3

c)

2,3,4

d)

1,1,2

76.

Identify whether the given variable is discrete or continuous.


Number of books in the library

a)

Discrete Variable

b)

Continuous Variable

77.

Identify whether the given variable is discrete or continuous.


Lifetime in hours of 15 flashlights

a)

Discrete Variable

b)

Continuous Variable

78.

Identify whether the given variable is discrete or continuous.


Number of tourists each day in museum

a)

Discrete Variable

b)

Continuous Variable

79.

Identify whether the given variable is discrete or continuous.


Capacity of water dams in the region

a)

Discrete Variable

b)

Continuous Variable

80.

Identify whether the given variable is discrete or continuous.


Weight of Grade 11 students

a)

Discrete Variable

b)

Continuous Variable

81.

It is an assertion or a claim about a population parameter that suggests neutrality between variables.

a)

alternative hypothesis

b)

directional hypothesis

c)

inductive hypothesis

d)

null hypothesis

82.

Which of the following statements is true?

a)

Type II error is committed if the null hypothesis is true and accepted.

b)

Type I error is committed if the null hypothesis is true and accepted.

c)

Type II error is committed if the null hypothesis is true and rejected.

d)

Type I error is committed if the null hypothesis is true and rejected.

83.

A bakery shop owner claims that the mean sale of his special bread is 1500 pieces per day. Determine the parameter to be tested in the given problem.

a)

The special bread.

b)

The bakery shop owner.

c)

Number of pieces of bread sold in a day

d)

Mean sales of the special bread per day.

84.

.A hospital claims that only 5% of its patients are unhappy with the attention they have received. Identify the parameter to be tested in the given problem.

a)

Care that the hospital can provide.

b)

Percentage of the patients in the hospital.

c)

Proportion of unhappy patients in the hospital.

d)

Patients who are happy with the services of the hospital.

85.

A clinical psychologist asserts that the average attention span of a 12-year-old is about 30 minutes. This is against the recorded attention span which is about 40 minutes. What is the appropriate null hypothesis for this claim?

a)

The average attention span can be longer than 30 minutes.

b)

A 12-year-old student has an average attention span of 30 minutes.

c)

A 12-year-old student cannot focus on a task for about 30 minutes.

d)

The average attention span of a 12-year-old student is less than 30 minutes

86.

Mr. Abad claims that his students performed better in the fourth quarter than the previous quarter based on the results of their quarter examination. The mean score of his students in the fourth quarter is greater than 40 points. Which of the following is the appropriate alternative hypothesis if a one-tailed test with a 0.05 level of significance?

a)

The mean score of the students in their fourth quarter examination is the same as their mean score in the third quarter.

b)

The mean score of the students in their fourth quarter examination is not equal to their mean score in the third quarter

c)

The mean score of the students in their fourth quarter examination is greater than their mean score in the third quarter.

d)

The mean score of the students in their fourth quarter examination is less than their mean score in the third quarter.

87.

A researcher believes that the average cost of a Statistics workbook is PHP 180. She samples 30 workbooks and calculates the mean of the sample to be PHP 205. Does this value warrant the conclusion that the average cost of workbooks is greater than PHP 180?

a)

The mean population might be higher than PHP 180.

b)

The true average of the population of all workbooks might indeed be PHP 180.

c)

No, there is insufficient information. The population might be lower than PHP 180.

d)

No, there is insufficient information. The population might be larger than PHP 180.

88.

If the sample size is large (𝑛 ≥ 30), or when the population is normally distributed with known population variance, what test statistic for one sample group is appropriate to use?

a)

one-sample t-test

b)

one-sample z-test

c)

Pearson r

d)

. Linear Regression

89.

The school nurse of a public school in Pampanga claims that the mean weight of grade 11 students is 55.6 kg with a standard deviation of 5.4 kg. The HOPE teacher takes a random sample of 35 STEM students and found out to have a mean weight of PHP 52.3 kg. To test the claim of the teacher with a level of significance of 0.05, what test statistic is appropriate to use assuming the data came from a normal distribution?

a)

one-sample t-test

b)

one-sample z-test

c)

Pearson r

d)

Linear Regression

90.

A social worker in a barangay claim that the mean monthly salary of the families in their barangay is Php 21,750 with a standard deviation of Php 16,000. A researcher takes a random sample of 25 families, who are found to have a mean salary of Php 19,875. Is the sample size large enough for the central limit theorem to apply?

a)

Yes, since n = 25 the central limit theorem applies.

b)

Yes, since n = 0.05 the central limit theorem applies.

c)

No, since n = 25 the central limit theorem cannot be applied.

d)

No, since the n = 0.05 the central limit theorem cannot be applied.

91.

Dominic wants to know how all his classmates perceive the conduct of an earthquake drill. He interviewed 36 random selections from his classmates and then determined the percentages of those who are in favor of the drill with an average of 86.59. He assumed that the error present is the sampling error. He used ±2.58 critical value of z with a population standard deviation of 4. What is the margin of error?

a)

±1.60

b)

±1.72

c)

±1.80

d)

±2.01

92.

If n = 85, does the Central Limit Theorem apply?

a)

Yes, because n ≤ 30

b)

Yes, because n ≥ 30.

c)

No, because n ≤ 30.

d)

No, because n ≥ 30

93.

Which of the following is an example of bivariate data?

a)

A student’s average grade in science subject.

b)

A correlation between IQ scores and math scores.

c)

A comparison in the mean scores of the pretest and posttest.

d)

A significant difference between the experiment and control groups’ mean scores.

94.

Which of the following problems requires the use of Pearson correlation test statistic?

a)

Comparison of two sample means.

b)

Relationship of students’ test scores in Math and Science.

c)

Difference between the sample mean and population mean.

d)

Difference in the pretest and posttest results of a class in Math.

95.

A cellphone has an effective life span of about three years and depreciates its value yearly. From this statement, what is the independent variable if the value of a cellphone decreases as it goes older?

a)

The cellphone

b)

The value of the cellphone

c)

The buyer of the cellphone

d)

The age in years of the cellphone

96.

Which of the following statements holds true?

a)

A two-tailed test has its rejection region on either the right or left tail of the distribution.

b)

A right-tailed test has its rejection region on both the left and right tails of the distribution

c)

If the rejection region lies entirely on the left tail of the sampling distribution, then the test is a onetailed test.

d)

If the rejection region lies entirely on the right tail of the sampling distribution, then the test is a twotailed test.

97.

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches. To test this claim, a random sample of 100 doctors is obtained. Of these 100 doctors, 82 indicate, that they recommend aspiring. Based on the given problem, what null hypothesis can be formulated?

a)

A survey claims that 10% of doctors recommend aspirin for their patients with headaches.

b)

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches.

c)

A survey claims that 90% of doctors do not recommend aspirin for their patients with headaches.

d)

A survey claims that 9 out of 10 doctors do not recommend aspirin for their patients with headaches.

98.

An e-commerce research company claims that 60% of graduate students have bought merchandise online. To test this claim, a random sample of 80 graduate students shows that only 22 students have ever done so. Based on the given problem, what alternative hypothesis can be formulated?

a)

22 out of 80 graduates brought merchandise online

b)

There is enough evidence to show that the true proportion is 60%

c)

There is not enough evidence to show that the true proportion is 60%

d)

An e-commerce research company claims that 60% of graduates and students have bought merchandise online, which is not true.

99.

Which of the following scatter plots shows the most likely positive correlation?

a)

I only

b)

II only

c)

Both I and II

d)

Neither I nor II

100.

Given the following data, which of the following hypotheses can be a representation of bivariate data?

I. Students’ body mass index (BMI) for the second semester

II. Students’ test scores in Statistics and Probability

III. Students’ average monthly allowance.

a)

A significant difference in the BMI, test scores, and average monthly allowance of students.

b)

The average monthly allowance of students compared to the population mean.

c)

Relationship between the BMI and test scores in Statistics and Probability.

d)

Students’ test scores compared to the population mean.

101.

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

102.

If two coins are tossed, which is not a possible value of the random variable for the number of heads?

a)

0

b)

1

c)

2

d)

3

103.

Which of the following is not a true statement?

a)

The value of a random variable could be zero.

b)

Random variables can only have one value.

c)

The probability of the value of a random variable could be zero.

d)

The sum of all the probabilities in a probability distribution is always equal to one.

104.

It is a characteristic that can assume different values.

a)

probability distribution

b)

variable

c)

discrete

d)

nominal

105.

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

106.

Variables that are expressed as a whole and is countable.

a)

Discrete

b)

Continuous

c)

Nominal

d)

Ordinal

107.

Which of the following best describes the continuous variable?

a)

Expressed as a whole

b)

Countable

c)

weight

d)

Uncountable

108.

It is the list of all possible outcomes.

a)

probability distribution

b)

disctrete variable

c)

possible outcomes

d)

sample space

109.

It is the most appearing number.

a)

mean

b)

mode

c)

median

d)

variance

110.

Process of collecting, analyzing, interpreting and presenting data.

a)

probability

b)

statistics

c)

variable

d)

none of the above

111.

What is the mean of the population?

a)

1.00

b)

2.00

c)

3.00

d)

4.00

112.

Compute the variance of the population.

a)

5

b)

10

c)

15

d)

20

113.

Determine the possible samples of size n = 3

Use the formula NCn .

Given: N = 5; n = 3

a)

4

b)

6

c)

8

d)

10

114.
Find the probability of rolling greater than a 1 on a single die.
a)
6/6
b)
5/6
c)
4/6
d)
1/6
115.

What is the chance that you will spin a 6 twice in a row?

a)

1/12

b)

1/3

c)

1/6

d)

1/9

116.

What is the mean of the following data set?


{5, 9, 5, 2, 7, 10}

a)

10.2

b)

6.30

c)

8.2

d)

5.3

117.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
118.
What does "mean" mean?
a)
average
b)
middle
c)
repeats the most
d)
variation
119.

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

a)

Random Variable

b)

Sample Space

c)

Mean

d)

Data

120.

Example for random experiment

a)

Tossing a coin

b)

Rolling a die

c)

Selecting card from a pack of 52 cards

d)

All the above

121.

It is a function whose value is a real number determined by each element in the sample space.

a)

Experiment

b)

Event

c)

Random Variable

d)

Probability

122.

The set of all possible outcomes of an experiment.

a)

Random Variables

b)

Sample Space

c)

Probability Disttribution

d)

Element

123.

A fair coin is flipped three times. What is the probability of seeing heads exactly once?

a)

3/8

b)

1/8

c)

1/2

d)

1/6

124.

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

125.

State whether it is Discrete or Continuous;

The speed of a car

a)

Discrete

b)

Continuous

126.

State whether it is Discrete or Continuous;

The sum rolled on a pair of dice

a)

Discrete

b)

Continuous

127.

State whether it is Discrete or Continuous;

The winning ticket number drawn from a raffle

a)

Discrete

b)

Continuous

128.

State whether it is Discrete or Continuous;

The weight of parcels at a post office

a)

Discrete

b)

Continuous

129.

State whether it is Discrete or Continuous;

The size of jeans in a shop

a)

Discrete

b)

Continuous

130.

State whether it is Discrete or Continuous;

The number of heads when tossing a coin 50 times

a)

Discrete

b)

Continuous

131.
Which of the following random variables is NOT continuous?
a)
Amount of gasoline in a car.
b)
Time it takes to commute to work.
c)
Number of goals scored by a hockey team.
d)
Lifetime of a AAA battery.
132.

Which of the following refers to a rule that assigns a numerical value or characteristic to an outcome of an experiment?

a)

Expected Value

b)

Random Variable

c)

Range Space

d)

Probability Distribution

133.

Which of the following is a graphical display of data using bars of no spaces in between and group numbers into ranges?

a)

Bar Graph

b)

Histogram

c)

Line Graph

d)

Pie Chart

134.

Suppose three coins are tossed. Let H represent head and T represent tail. What is the sample space for this experiment?

a)

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

b)

S = {TTT, TTH, HHT, HHH}

c)

S = {TT, TH, HT}

d)

S = {T, H}

135.

True or False:


If the number of possible outcomes of a random variable is infinite but countable, the random variable is considered discrete.

a)

True

b)

False

136.

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

a)

Random Variable

b)

Discrete

c)

Continuous

137.

It is repeatedly done under similar condition.

a)

Sample Space

b)

Experiment

c)

Outcome

138.

List the sample space for this experiment : A coin is tossed at the start of a basketball match.

a)

S = { TT , HH, TH, HT}

b)

S = { T , H }

c)

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

139.

Discrete or Continuous? : The amount of rainfall in Manila City in a year.

a)

Discrete

b)

Continuous

140.

What is the sum of the probabilities of all values of the random variable?

a)

0

b)

1

c)

2

d)

3

141.
If an event cannot occur, then its probability is 
a)
1
b)
½
c)
¼
d)
0
142.
If E be an event  such that P(E) = 3⁄7, then P(not E) is _______
a)
4⁄7
b)
6⁄7
c)
5⁄7
d)
None of these
143.
Which of the following cannot be the probability of an event?
a)
17⁄16
b)
0.1
c)
3%
d)
⅓
144.
Which of the following can be the probability of an event?
a)
-0.04
b)
1.0004
c)
18⁄23
d)
8⁄7
145.
Choose the correct answer
If P(A) denote the probability of an event A, then _____ 
a)
P(A) < 0
b)
P(A) > 1
c)
0 ≤ P(A) ≤ 1
d)
-1 ≤ P(A) ≤ 1
146.
A box contains 5 red, 4 green and 3 black balls.  A ball is drawn at random from the box.  The probability of drawing a green ball is____
a)
4⁄12
b)
4⁄11
c)
4⁄10
d)
4⁄9
147.
A bag contains 5 red, 3 green and 5 black balls. A ball is drawn at random from the bag.  Find the probability that the ball is not red
a)
5⁄13
b)
3⁄13
c)
8⁄13
d)
5⁄12
148.
a)
TRUE
b)
FALSE
149.

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

a)

gender

b)

temperature

c)

pressure

d)

bank statement

150.

Which of the following is an example of a continuous random variable?

a)

electric fan setting

b)

temperature

c)

gender

d)

cities

151.
Find the value for 
P(Z < -0.386)
a)
0.3498
b)
0.3520
c)
0.3501
d)
0.6502
152.
Find the value for
P(Z > 2.46)
a)
0.00714
b)
0.99305
c)
0.00695
d)
0.99286
153.
Find the value for 
P(Z < -2.365)
a)
0.00902
b)
0.99098
c)
0.1401
d)
0.1381
154.
Find the value for
P(Z< 0.27)
a)
0.3936
b)
0.3897
c)
0.6064
d)
0.4892
155.
Find the value for
P(Z > 1.146)
a)
0.1283
b)
0.8741
c)
0.1259
d)
0.8717
156.
Find the value for
P( 0 < Z < 0.621)
a)
0.7673
b)
0.2327
157.
Find the value for
P(-1.527 < Z < 0)
a)
0.4366
b)
0.5634
158.
Find the value for
P( -2.01 < Z < 0.88)
a)
0.7884
b)
0.2116
c)
0.0222
d)
0.1984
159.
Find the value for
P( -0.875 ≤ Z ≤ 1.223)
a)
0.1908
b)
0.6985
c)
0.1107
d)
0.3015
160.
Find the value for
P(-3.16 < Z < -0.46)
a)
0.3219
b)
0.3228
c)
0.000789
d)
0.6781
161.
Find the value for 
P(-2.56 < Z < -0.65)
a)
0.2578
b)
0.00523
c)
0.2526
d)
0.7474
162.
Find the value for
P( 1.362 < Z < 2.646)
a)
0.0866
b)
0.9175
c)
0.00408
d)
0.0825
163.
Find the value for
P(0 < Z < 1.5 )
a)
0.06681
b)
0.43319
c)
0.56681
d)
0.93319
164.
Find the value for 
P( -0.625 < Z < 1.38)
a)
0.2660
b)
0.0838
c)
0.6502
d)
0.234
165.
Find the value for 
P(Z > 1.78)
a)
0.0376
b)
0.0375
c)
0.0446
d)
0.2420
166.
Find the area of the shaded region if the z-score is -0.3
a)
0.6179
b)
0.488
c)
0.3783
d)
0.3821
167.
Find the area of the shaded region if the z-score is 1.25
a)
0.1056
b)
0.8944
c)
0.8849
d)
0.1151
168.
Find the area of the shaded region if the z-score is 0.75
a)
0.2266
b)
0.7734
c)
0.758
d)
0.242
169.
Find the area of the shaded region if the z-score is -0.16
a)
0.5398
b)
0.4602
c)
0.5636
d)
0.4364
170.
Find the area of the shaded region if the z-scores are -0.25 and 1.
a)
0.4401
b)
0.8413
c)
0.4013
d)
0.1587
171.
Find the area of the shaded region if the z-scores are -2 and -0.5
a)
0.6915
b)
0.3085
c)
0.0228
d)
0.2858
172.

Without looking at the table, whait is the area to the left of z=0? In other words, what is P(z<0)?

a)

0.5

b)

1

c)

.25

d)

-0.5

173.
Find the area under the standard normal curve to the right of z =1.36.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
174.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
175.
Find the area under the standard normal curve to the right of z = 3.15. 
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
176.
Find the area under the standard normal curve between z = -2.55 and z = 1.08. 
a)
0.8545
b)
0.7560
c)
0.3110
d)
0.2140
177.
Find the area under the standard normal curve between z = -1.0 and z = 1.37.
a)
0.8545
b)
0.7560
c)
0.3110
d)
0.2140

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11th Grade