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I. MULTIPLE CHOICE: Choose the letter that corresponds to the correct answer. Write your answer on the space provided. 1. Which of the following is a discrete random variable? HOLAUOL a. The average amount of electricity consumed b. The number of patients in a hospital c. The amount of paint used in repainting Ocampo, Comarines Sur a building d. The average weight of female athletes 2. If two coins are tossed, which is not a possible value of the random variable for the number of heads? a. 0 b. 1 b. c. 2 d. 3 3. 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. 4. Which formula gives the probability distribution shown by the table? X P(X) a. P(X) = X b. P(X) c. P(X) = X d. P(X) = 5. If P(X) = -, what are the possible values of X for it to be a probability distribution? a. 0, 2, 3 b. 1, 2, 3 c. 2, 3, 4 d. 1, 1, 2For numbers 6 - 8, refer to the probability distribution shown below. X O POX) ca I w - CO | W N 6. What is the mean of the probability distribution? a. 1.5 b. 1.2 c. 1.6 d. 1.8 7. What is the variance of the probability distribution a. 0.75 b. 1.00 c. 1.25 d. 0.50 8. What is the standard deviation of the probability distribution? a. 1.00 b. 0.87 c. 1.12 d. 0.71 For numbers 9 - 10, refer to the probability distribution shown below. X 6 P(X) 9. What is the mean of the probability distribution? a. 1.5 b. 2.0 c. 3.5 d. 4.0 10. What is the variance of the probability distribution? a. 4.15 b. 6.35 c. 8.00 d. 7.50c. 8.00 d. 7.50 1 1. Which of the following statements is correct? a. The mean of the sampling distribution of the means is less than the population mean. b. The mean of the sampling distribution of the sample means is greater than the population mean. c. The means of the samples drawn from a population are always equal to the population mean. d. The means of the samples drawn from a population may be equal, greater than or less than the population mean. 12. A certain population has a mean of 15.4 and a standard deviation of 5.6. If random samples of size 5 is taken from this population, which of the following statements is correct? a. The mean of the sampling distribution of the sample means is equal to 15.4.b. The mean of the sampling distribution of the sample means is less than to 15.4. c. The standard deviation of the sampling distribution of the sample means is 5.6. d. The standard deviation of the sampling distribution of the sample means is 15.4. 13. If the variance of the population is 10, what is the variance of the sampling distribution of the means of size 5 drawn from this infinite population? a. 2 b. 4.47 c. 1.41 d. 10 14. What is the square root of variance? a. Mean b. variance c. standard deviation d. mode 15. The sum of the data divided by the total number of data is called a. Mean b. variance c. standard deviation d. mode II. Give your own 5 examples of Discrete random variable 16. 17. 18. 19. 20. III. Give your own 5 examples of Continuous random variable 21. 22. 23