During the morning hours at a catalog sales department, telephone calls come in at the rate (Poisson) of 52 per hour. Calls that cannot be answered immediately are put on hold. The system can handle 8 callers on hold. If additional calls come in, they receive a busy signal. The 3 customer service representatives who answer the calls spend an average of 3 minutes with a customer. Use Table 1 and Table 2.

a. What is the probability that a caller will get a busy signal? (Hint: Solve for log K or ln K using trial and error.) (Do not round intermediate calculations. Round your answer to 5 decimal places.)

Probability __________   

b. What is the probability that a customer will be put on hold? (Do not round intermediate calculations. Round your answer to 3 decimal places.)

Probability ____________