6.82 Which distribution for sales? A salesperson uses random digit dialing to call people and try to interest them in applying for a charge card for a large department store chain. From past experience, she is successful on 2% of her calls. In a typical working day, she makes 200 calls.

Let X be the number of calls on which she is successful.

a. What type of distribution does X have: normal, binomial, discrete probability distribution but not binomial, or continuous probability distribution but not normal?

b. Find the mean and standard deviation of X. Interpret the mean.

c. Find the probability that on a given day she has 0 successful calls.