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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