Directions: Answer each item by showing PERTINENT solutions if necessary. Choose the letter of the correct answer. 8. If P(X) = X/6, what are the possible values of X for it to be a probability distribution? 3. 0, 2, 3 b. 1, 2, 3 c. 2, 3, 4 d. 1, 1, 2 For numbers 9-11, refer to the probability distribution shown below. X 3 5 7 9 P(X) 2/12 3/12 5/12 2/12 9. What is the mean of the probability distribution? a. 5.75 b. 6.17 c. 3.64 d 4.87 10. What is the variance of the probability distribution? a. 3.68 b. 3.60 c. 4.02 d. 3.64 11. What is the standard deviation of the probability distribution? a. 1.73 b. 1.87 c. 1.91 d. 1.34 For numbers 12-13, refer to the probability distribution shown below. X 0 2 4 6 8 P(X) 1/5 1/5 1/5 1/5 1/5 12. What is the mean of the probability distribution? a. 1.5 b. 2.0 c. 3.5 d. 4.0 13. What is the variance of the probability distribution? a. 4.15 b. 6.35 c. 8.0 d. 7.5 For numbers 14 - 15, refer to the given table below. The following data show the probabilities for the number of cars sold in a given day at a car dealer store. Number of Cars X Probability P(x) 0 0.100 1 0.250 2 0.140 3 0.135 4 0.125 5 0.075 6 0.080 0.095 14. Find P(X