1/10 points l Previous Answers MendStat14 5E053 Let x be a hypergeometric random

Question

1/10 points l Previous Answers MendStat14 5E053 Let x be a hypergeometric random variable with N 15, n 3, and M 5. (a) Calculate p(o), p(1), p(2), and p(3). (Round your answers to two decimal places.) P(o) P(2) P(3) c) Use the formulas below to calculate = E(x) and 2 (Round your answer for to one decimal place and your answer for o2 to five decimal places. (d) What proportion of the population of measurements fall into the interval (u 20)? (Round your answer to two decimal places.) what proportion of the population of measurements fall into the interval ( : 3a)? (Round your answer to two decimal places.) Do these results agree with those given by Tchebysheff's Theorem? yes no

Explanation / Answer

Solution:- Given that values N = 15 , n = 3, M = 5

a) P(0) = 0.26

P(1) = 0.49

P(2) = 0.22

P(3) = 0.02

c)   = 1

2 = 0.57143

d) => 1 +/- 2(0.57143) = (-0.14 , 2.14)

=>  1 +/- 3(0.57143) = ( -0.71 , 2.71)

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