In Problem 5-20, suppose that Erkut’s television-repair service cannot accommodate more than 10 TV sets at a time (under repair and waiting for service). What is the probability that the number of TV sets on hand will exceed the shop capacity?

Problem 5-20

Erkut’s television-repair service receives an average of four TV sets per eight-hour day to be repaired. The service manager would like to be able to tell customers that they can expect their TV back in three days. What average repair time per set will the repair shop have to achieve to provide three-day service on the average? (Assume that the arrival rate is Poisson distributed and repair times are exponentially distributed.)