A fair coin is tossed n times. (a) If n = 16, find the exact probability of 8 heads and the corresponding normal approximation. (b) If n = 100, use the normal approximation to estimate the probability...

A fair coin is tossed n times.

(a) If n = 16, find the exact probability of 8 heads and the

corresponding normal approximation.

(b) If n = 100, use the normal approximation to estimate the

probability of exactly 50 heads.

(c) For even n, find an approximate expression for exactly n/2

heads inn tosses.

(d) What is the limit of the probability in [part (c)] as n -+ co?