1. Write a program for the user to input n, p, j and have the program print out the exact value of b(n, p, k) and the Poisson approximation to this value.
2. Assume that, during each second, a Dartmouth switchboard receives one call with probability .01 and no calls with probability .99. Use the Poisson approximation to estimate the probability that the operator will miss at most one call if she takes a 5-minute coffee break.