LetX be a hypergeometric random variable with N = 20, n = 3, and M = 7. (a) Calculate p(0), 12(1), p(2), and p(3). (Round your answers to two decimal places.) 0(0) : 0(1) : 9(2) = 9(3) = (b) Construct the probability histogram for x. P0!) 1300 04 0.5 0.4 0.3 0.3 0.2 0.2 0.1 o. x O 0 1 2 3 O 0 1 2 3 1K3) 0.3 0.2 0.1 0 x Q 0' X 0 0 1 2 3 v (c) Use the formulas below to calculate )1 : E(X) and o2. (Round your answer for )1 to one decimal place and your answer for 02 to five decimal places.) - "(Ml '1 N 2 (\")(\"'\")(\"'\") 0 = n _ N N N 7 1 (d) What proportion of the population of measurements fall into the interval (p 1 20)? (Round your answer to two decimal places.) :1 What proportion of the population of measurements fall into the interval ([1 i 30)? (Round your answer to two decimal places.) :1