Use Table I1 of Appendix B to calculate the following binomial probabilities:

a. P(x 2 7) when n = 8 and p = .5

b. P(x 2 5) when n = 8 and p = .5

c. P(x 2 8) when n = 8 and p = .5

d. P(x 2 10) when n = 15 and p = .5. Also use the normal approximation to calculate this probability, then compare the approximation with the exact value.

e. P(x 2 15) when n = 25 and p = .5. Also use the normal approximation to calculate this probability, then compare the approximation with the exact value.