Solved: Let X have a binomial distribution with parameters

Chapter 4, Problem 53E

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Problem 53E

Let X have a binomial distribution with parameters n =25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p = .5 , .6, and .8 and compare to the exact probabilities calculated from Appendix Table A.1.

a. P(15 ≤ X ≤ 20)

b. P(X ≤ 15)

c. P(20 ≤ X)

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