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 E(x) and 2 d What proportion of the population of measurements fall into the interval ( 2) Into the interval ( 3) Do these results agree with those given by Tchebysheff 's Theorem

Question: 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).

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 µ = E(x) and σ2.
d. What proportion of the population of measurements fall into the interval (µ ± 2σ)? Into the interval (µ ± 3σ)? Do these results agree with those given by Tchebysheff's Theorem?

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