Question 1

1. Which of the following is a discrete random variable?

Accepted Answer

the number of patients in a hospital

Answer

the average amount of electricity consumed

Answer

the average weight of female athletes

Answer

the amount of paint used in repainting a building

Question 2

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

Accepted Answer

3

Answer

1

Answer

2

Answer

0

Question 3

3. Which of the following is not a true statement?

Accepted Answer

Random variables can only have one value

Answer

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

Answer

The value of a random variable could be zero

Answer

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

Question 4

4. Which of the following is NOT a probability distribution?

Accepted Answer

With values of Random Variables X= 2, 4, 6, 8, 10 with P(X) of 0.15, 0.15,0.50,0.15,0.15 respectively

Answer

With values of Random Variables X= 0, 1, 2, 3, 4 with P(X) of 0.10, 0.15, 0.50, 0.15, 0.10 respectively

Answer

With values of Random Variables X= 0, 1, 2, 3, 4 with P(X) of 0.1, 0.2, 0.4, 0.2, 0.1 respectively

Answer

With values of Random Variables X= 2, 4, 6, 8, 10 with P(X) of 0.2, 0.2, 0.2, 0.2, 0.2 respectively

Question 5

5. Which of the following is an example of parametric data?

Accepted Answer

The average height of the students  in a university is 160 centimeters.

Answer

In a university, a class randomly selected  as a sample has an average height of 160  centimeters

Answer

Ten random students were selected from a class of 40.Their average height is 160 centimeters

Answer

To determine the average height of the students in a university , the earliest  200 students were measured and their  average height was found to be 160 centimeters.

Question 6

6. Which of the following describes how spread out the random variables are from one another?          I. Mean                 II. Variance               III. Standard Deviation

Accepted Answer

II and III

Answer

I and II

Answer

I and III

Answer

I only

Question 7

7. Which of the following explain/s why the give data  is not a probability distribution? Where: Random Variable, X = 2, 4, 6, 8, 10 with corresponding P(X)  of 0.15, 0.15, 0.15, 0.15, 0.15

Accepted Answer

The sum of the probabilities has to be equal to 1

Answer

The random variable has to be a real number

Answer

The probability cannot assume values that are less than 0

Answer

The probability cannot assume values greater than 1

Question 8

8. Which of the following quantities is equal to the expected value of the discrete random variable?

Accepted Answer

mean

Answer

standard deviation

Answer

variance

Answer

none of the above

Question 9

9. Which of the following is an example of an empirical probability?

Accepted Answer

none of the above

Answer

The probability of getting heads out of a coin toss is equal to 1/2

Answer

After gathering data , it was found out that the chance of randomly selecting a left - handed person is 1/10

Answer

The probability of getting two heads out of two coin tosses is 1/4

Question 10

10.One of the three basic interpretations of probability where the probability of an event is determined by carrying out an experiment.

Accepted Answer

Empirical Probability

Answer

Classical Probability

Answer

Probability Distribution

Answer

Subjective Probability

Question 11

11. It is a way of presenting probability distribution using vertical bars placed side by side.

Accepted Answer

Histogram

Answer

All of the Above

Answer

Normal Distribution

Answer

Frequency Polygon

Question 12

12.Which of the following statements is TRUE?

Accepted Answer

A random variable is discrete if its set of possible outcomes is countable.

Answer

The probability of each value in a probability distribution should be more than or equal to one and less than or equal to zero.

Answer

Classical probability is based on an educated guess or estimate.

Answer

Sampling distribution refers to the values of random variables and the probability assigned to them.

Question 13

13. Which of the following is an example of continuous random variable?

Accepted Answer

The amount of rainfall in a randomly selected time

Answer

The number of left-handed persons in a classroom

Answer

The number of mistakes a student makes in an exam

Answer

The year of birth of a randomly selected student

Question 14

14. Successful life of product, time, weight, and height are classified as,

Accepted Answer

Continuous random variable

Answer

Continuous waiting time variable

Answer

Discrete random variable

Answer

Discrete hyper geometric variable

Question 15

15. Value which is obtained by multiplying possible values of random variable with probability of occurrence and is equal to weighted average is called,

Accepted Answer

Expected value

Answer

Cumulative value

Answer

Discrete value

Answer

Weighted value

Question 16

16. For any probability distribution, the expected value is:

Accepted Answer

Equal to the mean of the distribution

Answer

Cannot be greater than 1

Answer

Equal to the random variable

Answer

Equal to the variance of the distribution

Question 17

17. . Which of the following is TRUE about a probability distribution?

Accepted Answer

A probability distribution is equal to one.

Answer

A probability distribution summarizes all possible experimental outcomes and their probability

Answer

A continuous probability distribution is used to summarize a discrete random variable

Answer

A probability distribution shows the frequency distribution of a random variable

Question 18

18. A survey will be given to 100 students randomly selected from the freshmen class at MNHS. What is the population?

Accepted Answer

All freshmen students at MNHS

Answer

The 100 selected students

Answer

All students in MNHS

Question 19

19. A survey will be given to 100 students randomly selected from the freshmen class at MNHS. What is the sample?

Accepted Answer

The 100 selected students

Answer

All students in MNHS

Answer

All freshmen students at MNHS

Question 20

20. Fifty bottles of water were randomly selected form a large collection bottles in a company’s warehouse. These fifty bottles are referred to as the ____.

Accepted Answer

Sample

Answer

Data

Answer

Population

Answer

Parameter

Question 21

21. A mean is known as a statistic if it is computed from the ____.

Accepted Answer

Sample

Answer

Parameter

Answer

Population

Answer

Data

Question 22

22. An investor invests on a security bank with an 80% chance of earning Php 600,000 profit and a 20% chance of losing the investment worth Php 500,000. What is the expected profit?

Accepted Answer

380,000

Answer

680,000

Answer

580,000

Answer

480,000

Question 23

23. The number of cars sold per day at a local car dealership, along with its corresponding probabilities, is shown in the succeeding table. No. of cars sold
X	Probability P(X)
0	1/10
1	2/10
2	3/10
3	2/10
4	2/10
What is the mean of the given probability distribution?

Accepted Answer

2.2

Answer

3.1

Answer

2.3

Answer

. 3.3

Question 24

24. The number of cars sold per day at a local car dealership, along with its corresponding probabilities, is shown in the succeeding table. No. of cars sold
X	Probability P(X)
0	1/10
1	2/10
2	3/10
3	2/10
4	2/10
What is the variance of the given probability distribution?

Accepted Answer

1.56

Answer

1.76

Answer

1.95

Answer

1.85

Question 25

24. The number of cars sold per day at a local car dealership, along with its corresponding probabilities, is shown in the succeeding table. No. of cars sold
X	Probability P(X)
0	1/10
1	2/10
2	3/10
3	2/10
4	2/10
What is standard deviation of the above distribution?

Accepted Answer

1.25

Answer

1.36

Answer

1.33

Answer

1.40

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