1. . Which of the following is NOT included in the process of calculating the mean of the discrete random variable X?

A. Identify the correct probabilities for each x value.

B. Multiply each x value by its probability.

C. Get the summation of the product.

D. Get the square root of the product.

2. Which of the following is TRUE about the value of the mean of a discrete random variable?

A. Mean Value is always equal to 1

B. Mean Value cannot be negative.

C. Mean value is equal to the expected value

D. Mean, Variance, and Standard Deviation are equal.

3. To determine the expected value of the discrete random variable which processes should be done?

A. Get the squared sum of the difference of each value of a discrete random variable its probability.

B. Get the summation of the difference of each value of a discrete random variable and its probability.

C. Get the summation of the product of each value of a discrete random variable and its probability.

D. Get the square root of the summation of the product each value of a discrete random variable and its probability.

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

A. Expected Value B. Mean Value

C. Probability value D. Variance

5. If the variance of a probability distribution is 2.6 grams, what is the standard deviation?

A. 1.61 B. 1.16 C. 1.06 D. 1.01

For items 6-7, refer to the scenario and table provided below.

In a recent Barangay Basketball League, each player went to free throws 2 times. The number of free throws made by each player is described by the following probability distribution.

Number of free throws, X Probability, P(X)

0 0.20

1 0.45

2 0.35

6. What is the mean of the probability distribution?

A. 1.00 B. 1.15 C. 2.00 D. 2.25

7. What is the probability that both free throws will be out of the basket?

A. 0.20 B. 0.45 C. 0.35 D. 1.00

For items 8-10, refer to the scenario and table provided below

The number of qualified voters living in the household on a randomly selected Subdivision block is described by the following probability distribution.

Number of qualified voter/s, x 1 2 3 4

Probability, P(X) 0.25 0.50 0.15 0.10

8. What is the mean of the probability distribution?

A. 1.0 B. 1.8 C. 2.0 D. 2.1

9. What are the variance and standard deviation respectively of the probability distribution?

A. 0.99 and 0.50 B. 0.89 and 0.62

C. 0.79 and 0.89 D. 0.80 and .088

10. What is the probability that less than 3 votes will be in any household?

A. 0.25 B. 0.50 C. 0.75 D. 1.00

11. Which of the following notations indicate the probability of a z value from the right?

A. P(Z > z) B. P(Z < z) C. P(X < x) D. P(X > x)

12. What does P(a

A. Probability of x that is in the right of a and b.

B. Probability of x that is in the opposite of a and b.

C. Probability of X that is in between two other z values a and b.

D. Probability of a normal random variable X that is in between two other normal random variables a and b

13. What is the probability of z value indicated by P(Z > -1.78)?

A. 0.0375 B. 0.3075 C. 0.9625 D. 0.9633

14. Find the probability value of P(Z< -1.0).

A. 15.87% B. 34.13% C. 84.13% D. 90.13%

15. Compute the probability value of P(1.35< Z< 2.75).

A. 8.55% B. 85.5% C. 85.85% D. 90.85%

17. Find the z-scores that bound the middle 85.02% of the area under the standard normal curve.

A. (-1.44, 1.44) B. (-1.44, -1.78)

C. (1.44, 1.78) D. (-1.78, 1.78)

18. The average score on Statistics and Probability Summative Test is 40 points with a standard deviation of 4. What is the probability that Beth's score is 25 points?

A. -3.75% B. -0.009% C. 0.009% D. 3.75%

19. The weekly sales of STEM students on their "Go Business" project are normally distributed with a mean of P4,250 and a standard deviation of P300. How many percent of their weekly sales are over P4,700?

A. 6.68% B. 13.36% C. 86.63% D. 93.32%

20. The ages of Senior High students enrolled at Cauayan City National High School are normally distributed with a mean of 17 years and a standard deviation of 2.5 years. If a student is selected at random, what is the probability that his age is under 16 years?

A. 15.54% B. 34.46% C. 68.92% D. 84.56%

21. What distribution pertains to the frequency distribution of the sample mean from all the possible random samples of a particular sample size n taken from the given population?

A. frequency B. normal

C. population D. sampling

22. Which of the following is NOT a step-in creating sampling distribution of the sample mean?

A. Determine the number of sets of all possible random samples.

B. Compute for the standard deviation and variance of the samples.

C. Construct a frequency distribution table of the sample mean and probability.

D. List all the possible random samples and solve for the sample mean of each set of samples.

23. Which of the following is the mean of the samples 7, 11, 22, 24, and 27?

A. 15.17 B. 18.20 C. 22 D. 22.75

For numbers 24-28, a population consists of the data {1, 2, 3, 4}.

24. How many different samples of size n = 2 can be drawn from the population?

A. 6 B. 5 C. 4 D. 3

25. Which of the following sample mean has the greatest frequency in the sampling distribution?

A. 1.5 B. 2 C. 2.5 D. 3

26. What is the frequency of sample mean 4?

A. 3 B. 2 C. 1 D. 0

27. Wat is the probability of the sample mean 3.5 in the sampling distribution?

A. 1/6 B. 2/3 C. 2/6 D. 3/4

28. What is the lowest value of the sample mean in this sampling distribution?

A. 0 B. 1.5 C. 2 D. 2.

For numbers 29-30, refer to the given below: a population consists of the data {3, 5, 7, 9, 11}.

29. How many different samples of size n = 3 can be drawn from the population?

A. 5 B. 7 C. 8 D. 10

30. Which of the following sample mean appears most frequent in the sampling distribution?

A. 5 B. 5.67 C. 7 D. 8.33