Question: 5.52 Let X be a hypergeometric random variable with N=15, n=3, and M = 4. a. Calculate p(0), p(1), p(2), and p(3). b. Construct the

5.52 Let X be a hypergeometric random variable with N=15, n=3, and M = 4.

a. Calculate p(0), p(1), p(2), and p(3).

b. Construct the probability histogram for x.

c. Use the formulas given in Section 5.4 to calculate and .

d. What proportion of the population of measurements fall into the interval (u 20)? Into the interval (3a)? Do these results agree with those given by Tchebysheff's Theorem?

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