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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