STATS AND PROB - PROBLEM SET

​STATS AND PROB (PROBLEM SET)

By Rodley Lina

Multiple Choice

Determine whether the given situation is Descriptive or Inferential Statistics.

Situation: Update on Internet restoration in your area

• Descriptive Statistics

• Inferential Statistics

Multiple Choice

The branch of Mathematics that deals with the scientific collection, organization, presentation, analysis, and interpretation of numerical data.

• Statistics

• Geometry

• Analysis

• Accounting

Multiple Choice

What are observations made using our five senses called?

• qualitative data

• quantitative data

Multiple Choice

Identify whether the experiment involves a discrete or a continuous random variable.

Collecting data about the mileage per liter of a certain brand and model of a car

• Discrete Random Variable

• Continuous Random Variable

Multiple Choice

Indicate which level of measurement is being used in the given scenario. 

A meteorologist compiles a list of temperatures in degrees Celsius for the month of May.

• Nominal

• Ordinal

• Interval

• Ratio

Multiple Choice

Indicate which level of measurement is being used in the given scenario. 

The teacher of a class of third graders records the letter grade for mathematics for each student.

• Nominal

• Ordinal

• Interval

• Ratio

Multiple Choice

True or false:

The social security numbers of students in a class represent quantitative data.

• A. TRUE

• B. FALSE

Multiple Choice

Identify the data set’s level of measurement:

The IQ scores of students in a class.

• A. Nominal

• B. Ordinal

• C. Interval

• D. Ratio

Multiple Choice

Identify the data set’s level of measurement:

The salaries of nurses at a hospital.

• A. Nominal

• B.Ordinal

• C. Interval

• D. Ratio

Multiple Choice

The event of selecting a month of the year with 31 days.

• 7/12

• 1/12

• 2/3

• 5/12

Multiple Choice

An unlikely chance event is closer to what number?

• 0
• 1
• 2
• 3

Multiple Choice

A bag of marbles contains 5 red, 7 purple, and 3 blue marbles. If one marble is chosen at random, what is the probability that the marble is NOT blue?

• 4/5
• 1/5
• 3/5
• 2/5

Multiple Select

What is the probability of spinning a 2 on the spinner?

• 1/2

• 1/3

• 1/8

• 1/4

Multiple Choice

A bag has 3 red marbles, 2 blue and 4 yellow. What is the probability of pulling a red?

• 3/10
• 3/9
• 1/9
• 1/3

Multiple Choice

Based on the chart, what is the probability of pulling a green marble?

• 1/8
• 8/25
• 8/100
• 7/8

Multiple Choice

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

• 3/10
• 3/9
• 1/9
• 1/3

Multiple Choice

If three coins are tossed, which is NOT a possible value of the random variable for the number of tails?

• 1

• 2

• 3

• 4

Multiple Choice

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

• Random Variable

• Discrete

• Continuous

Multiple Choice

Determine whether the distribution is a probability distribution of a discrete random variable or not.

• a probability distribution

• not a probability distribution

Multiple Choice

The sum of all probabilities in a probability distribution must be equal to 1.

• TRUE

• FALSE

Multiple Choice

68% of the marks in a test are between 51 and 64

Assuming this data is normally distributed, what are the mean and standard deviation?

• Mean = 57

  S.D. = 6.5

• Mean = 57

  S.D. = 7

• Mean = 57.5

  S.D. = 6.5

• Mean = 57.5

  S.D. = 13

Multiple Choice

The standard normal probability distribution has mean of 0 and a standard deviation of _____.

• $$\frac{1}{2}$$

• $$-1$$

• $$1$$

• $$-\frac{1}{2}$$

Multiple Choice

Any normal probability distribution can be converted to the standard normal probability distribution by the following formula

• $$z=\frac{X-\mu}{\sigma}$$

• $$z=\frac{\mu-X}{\sigma}$$

• $$z=\frac{X+\mu}{\sigma}$$

• $$z=\frac{X\mu}{\sigma}$$

Multiple Choice

By standardizing a normal probability distribution, we can report the distance of a value from the mean in units of the __________ .

• median

• standard deviation

• variance

• mode

Multiple Choice

The signed distance between a selected value, designated X, and the mean, μ, divided by the standard deviation, σ.

• p value

• z value

• r value

• t value

Multiple Choice

Between what two standard deviation of normal distribution contain 68% of the data?

• one below and one above

• two below an zero

• two below and two above

• zero and two above

Multiple Choice

A normal distribution is symmetric.

• True

• False

Multiple Choice

Find the z-score for 75 given a mean of 60 and a standard deviation of 6.

• -2.5

• 2.5

• -1.15

• 1.15

Multiple Choice

What shape is a normal distribution curve?

• Half curve

• Rhombus curve

• Bell curve

• Square curve

Multiple Choice

What does the mean tell you about a data set

• It tells you the number that occurs the most

• It is the difference between the highest and lowest number

• It tells you the average of the data set

• It tells you how mad someone is at another person

Multiple Choice

Where can we locate the mean in the normal curve?

• to the left portion

• to the right portion

• at the center

• on the z - axis

Multiple Choice

Which of the following graphs shows a normal curve?

Multiple Choice

What is the total area under the standard normal distribution curve?

• 100

• 5

• 25

• 1

Multiple Choice

What is NOT true about the standard normal distribution?

• it is bell-shaped.

• it is asymmetrical.

• it is unimodal

• the mean is 0 and the standard deviation is one.

Multiple Choice

The z-score represents....

• the amount of standard deviations a data value is above or below the mean.

• the amount of standard deviations a data value is above or below the media .

• the percentile the data value is above or below the mean.

• the percent the data value is above or below the mean.

Multiple Choice

Find the area that corresponds to z = 2.31

• 0.4772

• 0.4778

• 0.4896

• 0.4893

Multiple Choice

Compute the area that correspond to the given:

From z = 0.1 to z = 1.6

• 1.4849

• 1.4850

• 1.4851

• 1.4852

Multiple Choice

Which image correspond to z = 2.75 to z = -1.75?

Multiple Choice

Between what two standard deviation of normal distribution contain 95% of the data?

• one below and one above

• two below an zero

• two below and two above

• zero and two above

Multiple Choice

Find the area under normal curve if z = -0.75 to z = -2.75.

• 0.4970

• 0.7703

• 0.7704

• 0.2734

Multiple Choice

Find the area under normal curve if the value of z= 0 to z = 1.84.

• 0.4670

• 0.4671

• 0.4672

• 0.4673

Multiple Choice

The formula in finding the mean of a discrete probability distribution is shown below.

• TRUE

• FALSE

Multiple Choice

Experiment is the set of all possible outcomes.

• TRUE

• FALSE

Multiple Choice

The example below is an example of Discrete Probability Distribution.

• TRUE

• FALSE

Multiple Choice

The value of P(3) is 3/12.

• TRUE

• FALSE

Multiple Choice

Find the mean of the given probability distribution below.

• 0.8

• 1.6

Multiple Choice

Determine whether the distribution is a probability distribution of a discrete random variable or not.

• a probability distribution

• not a probability distribution

Multiple Choice

Determine whether the distribution is a probability distribution of a discrete random variable or not.

• a probability distribution

• not a probability distribution

Multiple Choice

Determine whether the distribution is a probability distribution of a discrete random variable or not.

• a probability distribution

• not a probability distribution

Multiple Choice

The table shows the probability distribution of a discrete random variable "x". What is the probability of x=80 or P(80).

• 0.10

• 0.15

• 0.20

• 0.40

Multiple Choice

The table shows the probability distribution of a discrete random variable "x". What is the probability of x greater than 80 or P(x>80).

• 0.10

• 0.40

• 0.50

• 0.90

Multiple Choice

The table shows the probability distribution of a discrete random variable "x". What is the probability of x less than 80 or P(x<80).

• 0.10

• 0.40

• 0.50

• 0.90

Multiple Choice

The table shows the probability distribution of a discrete random variable "x". What is the probability of x less than or equals 80 or P(x≤80).

• 0.10

• 0.40

• 0.50

• 0.90

Multiple Choice

The table shows the probability distribution of the number "x" of live pups in a litter of a female not over twelve months of age that has not borne a litter in the past six weeks. Find the probability that the next litter will produce five to seven live pups.

• 0.22

• 0.26

• 0.31

• 0.79

Multiple Choice

The table shows the probability distribution of the number "x" of live pups in a litter of a female not over twelve months of age that has not borne a litter in the past six weeks. Find the probability that the next litter will produce at least six live pups.

• 0.22

• 0.31

• 0.60

• 0.71

Multiple Choice

It is repeatedly done under similar condition.

• Sample Space

• Experiment

• Outcome

Multiple Choice

It is the result of the trial in an experiment.

• Sample Space

• Outcome

• Experiment

Multiple Choice

It is a random variable where the observed numerical value are the results of measuring and may take on any numbers contained within any numerical intervals.

• Continuous

• Discrete

• Probability

Multiple Choice

It is a random variable where the observed numerical value is produced by counting and assumes whole numbers only.

• Continuous

• Probability

• Discrete

Multiple Choice

Which of the following represents a discrete random variable?

• The weight in kilograms of randomly selected Senior High School students.

• The time it takes a student to finish answering the midterm exams.

• The number of patients who experience side effects after taking antibiotics.

Multiple Choice

Which of the following random variables is continuous

• The number of defective cellular phones in a box of 20.

• The time required to finish a certain job.

• The number of correct answers in 20-item multiple choice test.

Multiple Select

They describe the amount of spread in a distribution.

• Mode

• Variance

• Standard Deviation

• Mean

Multiple Choice

It is the weighted average of the possible values that the random variable can take.

• Mode

• Variance

• Standard Deviation

• Mean

Multiple Choice

What can we generate if we take the squares of standard deviation?

• Variance

• Standard Deviation

• Mean

• Mode

Multiple Choice

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

• Probability

• Statistics

• Standard Deviation

• Median

Multiple Choice

Which of the following notations is equivalent to the mean of the probability?

• 
  σ

• μ

• ∞

• None

Multiple Choice

If you were to roll the die one time what is the probability of it landing on a 2?

• 2 out of 6
• 2 out of 2
• 1 out of 6
• 1 out of 1

Multiple Choice

If two coins are tossed once, which is NOT a possible value of the random

variable for the number of heads?

• 0

• 1

• 2

• 3

Multiple Choice

Which of the following is a discrete random variable?

• Length of wire ropes

• Number of soldiers in the troop

• Amount of paint used in repainting the building

• Voltage of car batteries

Multiple Choice

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

• random variable

• variable

• probability

• probability distribution

Multiple Choice

The number of winners in lotto for each day

• discrete

• continuous

Multiple Choice

The area of lots in an exclusive subdivision

• discrete

• continuous

Multiple Choice

The speed of a car

• discrete

• continuous

Multiple Choice

The number of dropouts in a school per school

• discrete

• continuous

Multiple Choice

The weight of the professional wrestlers

• discrete

• continuous

Multiple Choice

When a single die is rolled, find the probability of getting an 8.

• 3/8

• 1

• 1/6

• 0

Multiple Choice

there are 20 marbles in a container: 4 are red, 5 are blue and 11 are yellow. What is rthe probability that a yellow marble will be picked?

• 1/5

• 11/20

• 9/11

• 1/4

Multiple Choice

The third person to knock on the door will be a female.

• 2/3

• 1/4

• 1/2

• 1/3

Multiple Choice

When a card is drawn from the set of 52 cards, it shows a black heart.

• 0

• 1/2

• 1

• 1/4

Multiple Choice

When a card is drawn from the standard deck of 52 cards, it shows a red ace.

• 1/26

• 1/13

• 3/52

• 1/4

Multiple Choice

If 3 coins are flipped together, the third coin shows a head.

• 7/8

• 1/2

• 3/8

• 1/4

Multiple Choice

In a family of 3 children, the eldest child is a boy.

• 1/4

• 1/2

• 2/3

• 1

Multiple Choice

When a die is rolled, it shows a counting number less than 7.

• 2/3

• 1

• 1/2

• 0

Multiple Choice

When a die is rolled, the die shows a composite number.

• 2/3

• 1/6

• 1/3

• 1/2

Multiple Choice

Determine whether the given situation is Descriptive or Inferential Statistics.

Situation: The Effects of Typhoon Odette in the lives of the people.

• Descriptive Statistics

• Inferential Statistics

Multiple Choice

Determine whether the given situation is Descriptive or Inferential Statistics.

Situation: The percentage of the examinees passing the licensure exam.

• Descriptive Statistics

• Inferential Statistics

Multiple Choice

Determine whether the given situation is Descriptive or Inferential Statistics.

Situation: Health benefits of having a healthy lifestyle.

• Descriptive Statistics

• Inferential Statistics

Multiple Choice

Determine whether the given situation is Descriptive or Inferential Statistics.

Situation: Literacy rate of the Filipino people at present.

• Descriptive Statistics

• Inferential Statistics

Multiple Choice

Determine whether the given data is Qualitative or Quantitative.

Data: Mode of payment for the tuition (cash, check, online)

• Qualitative Data

• Quantitative Data

Multiple Choice

Determine whether the given data is Qualitative or Quantitative.

Data: Annual sales in the company

• Qualitative Data

• Quantitative Data

Multiple Choice

Determine whether the given data is Qualitative or Quantitative.

Data: Monthly salary 

• Qualitative Data

• Quantitative Data

Multiple Choice

Determine whether the given data is Qualitative or Quantitative.

Data: Glass size for Milk tea

• Qualitative Data

• Quantitative Data

Multiple Choice

Determine whether the given data is Qualitative or Quantitative.

Data: Employee classification (Permanent, Part-time, Probationary)

• Qualitative Data

• Quantitative Data

Multiple Choice

Determine whether the given data is Discrete or Continuous.

Data: Population in Cebu City

• Discrete Data

• Continuous Data

Multiple Choice

Determine whether the given data is Discrete or Continuous.

Data: The number of words in a book.

• Discrete Data

• Continuous Data

Multiple Choice

Determine whether the given data is Discrete or Continuous.

Data: Monthly net income of an employee

• Discrete Data

• Continuous Data

Multiple Choice

Determine whether the given data is Discrete or Continuous.

Data: The number of clothes in your closet

• Discrete Data

• Continuous Data

Multiple Choice

Determine whether the given data is Discrete or Continuous.

Data: Person's weight

• Discrete Data

• Continuous Data