Question: Problem 4.44 The random variable X has a binomial distribution with parameters n = 25 and p = 0.5. (a) Compute the exact value of

Problem 4.44 The random variable X has a binomial distribution with parameters n = 25 and p = 0.5.

(a) Compute the exact value of P(9 ≤ X ≤ 16) using the binomial tables in the text.

(b) Compute P(9 ≤ X ≤ 16) using the normal approximation to the binomial.

(c) Compute the same probability in part

(b) using the continuity correction. Does the continuity correction improve the accuracy of the approximation?

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