Chapter 14.3, Problem 40E

Telephone Marketing A mortgage company advertises its rates by making unsolicited telephone calls to random numbers. About $2\%$ of the calls reach consumers who are

interested in the company's services. A telephone consultant can make $100$ calls per evening shift.

(a) What is the probability that two or more calls will reach an interested party in one shift?

(b) How many calls does a consultant need to make to ensure at least a $0.5$ probability of reaching one or more interested parties? [Hint: Use trial and error.]