Let x be a hypergeometric random variable with N = 15, n = 3, and M = 6. (a) Cal

Question

Let x be a hypergeometric random variable with N = 15, n = 3, and M = 6.

(a) Calculate p(0), p(1), p(2), and p(3). (Round your answers to two decimal places.)

p(0) =

p(1) =

p(2) =

p(3) =

(c) Use the formulas below to calculate -E(x) and . (Round your answer for to one decimal place and your answer for 2 to five decimal places.) =n d) What proportion of the population of measurements fall into the interval 2 ? Round your answer t two decima ace what proportion of the population of measurements fall into the interval ± 30)? Round your answer to two decimal places. Do these results agree with those given by Tchebysheff's Theorem? O Yes O No

Explanation / Answer

p(0) = 0.18

p(1) = 0.47

p(2) = 0.3

c)

Mean = 1.2

var = 0.6171

d)

[0,2.4342]

0.6593

e)

0.956

YEs

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