BMRT 21004 Module 6 HW (15 Points) Note: There are 2 pages to this homework assignment. ROUND ALL ANSWERS TO AT LEAST 4 (FOUR) QUALITY DECIMAL POINTS. THIS INCLUDES PERCENTAGES. IF IT'S UNCLEAR TO YOU WHAT THIS MEANS, EMAIL ME AND I'LL EXPLAIN IT TO YOU. HW Problem 13. (5 pts) For the Generic Discrete Distribution in the table below, determine the following: X 0 1 2 3 4 5 6 7 P(X) 0.103 0.118 0.246 0.229 0.138 0.094 0.071 0.001 a. The Mean () b. The Variance (2) c. The Standard Deviation () HW Problem 14. (5 pts) Solve for the mean and standard deviation of the following Binomial Distributions: a. n = 20 and p = .70 b. n = 70 and p = .35 c. n = 100 and p = .50 d. n = 131 and p = .72 e. n = 39 and p = .86 HW Problem 15. (5 pts) Suppose 45% of the marbles in a large container are purple. If we randomly sample 15 marbles, what is probability that: a. b. c. d. e. f. More than 10 of those sampled will be purple? 6 or fewer of those sampled will be purple? None of those sampled will be purple? Exactly 7 of those sampled will be purple? All of those sampled will be purple? 3 or 4 of those sampled will be purple