A) B) Let x be a hypergeometric random variable with N = 19, n = 3, and M = 7. (

Question

A)

B)

Let x be a hypergeometric random variable with N = 19, n = 3, and M = 7. (a) Calculate p(0), p(1), P(2), and p(3). (Round your answers to two decimal places.) a(0) = a(1) = a(2) = a(3) = (b) Construct the probability histogram for x p(x) p(x) 0.5 0.4 0.3 0.2 0.3 0.2 p(x) p(x) 0.5 0.4 0.3 0.2 0.1 0.4 0.3 0.2 (c) Use the formulas below to calculate = E(x) and a". (Round your answer for to one decimal place and your answer for 2 to five decimal places.) ," = (d) what proportion of the population of measurements fall into the interval ( 22)? (Round your answer to two decimal places.) what proportion of the population of measurements fall into the interval ( ± 3)? (Round your answer to two decimal places.) Do these results agree with those given by Tchebysheff's Theorem? O No

Explanation / Answer

a) P(0) = 0.227

P(1) = 0.4768

P(2) = 0.2601

P(3) = 0.0361

I image is the correct histogram

mu = 3(7)/19 = 1.1053

Var = 0.6205

Std dev =0.7877

The interval within 2 std dev = (-0.1358, 2.3463)

P(0,1,2) = 0.9638

Yes

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The prob are

x 0 1 2 3

p 0.125 0.375 0.375 0.125

First one is correct histogram

Mean =np =1.5

Var = npq = 0.75

Std dev = 0.866

Within 1 std dev = (0.634, 2.366)

Hence P(x=1 or 2) = 0.750

For 2 std dev =(-0.1, 3.3)

P(0,1,2,3) = 1
Last option is right

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