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p1, ... , pk then the expectation (E) is the weighted average of the values, with the weights being the probabilities:
(recall Bernoulli trials or see p. 105)... our previous rv counting the number of Hs in 4 tosses of a fair coin is a typical Binomial variable – we denote the binomial probabilities by
Ans: h(2; 10, 5, 20) = .348
NOTE: This can be approximated by b(2; 10, .25) = .282 (not so good...but if the N were larger... what would happen?)
then h(2; 10, 25, 100) = .292 and b(2; 10, .25) = .282