Andy Archer, Ph.D., is a training consultant for six mid-sized manufacturing firms. On the average, each of his six clients calls him for consulting assistance once every 25 days. Andy typically spends an average of five days at the client's firm during each consultation.
Assuming that the time between client calls follows an exponential distribution, determine the following:
a.the average number of clients Andy has on backlog
b.the average time a client must wait before Andy arrives to it
c.the proportion of the time Andy is busy

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The Answer of Andy Archer, Ph.D., is a training consultant for six mid-sized manufacturing firms. On the average, each of his six clients calls him for consulting assistance once every 25 days. Andy typically spends an average of five days at the client's firm during each consultation.
Assuming that the time between client calls follows an exponential distribution, determine the following:
a.the average number of clients Andy has on backlog
b.the average time a client must wait before Andy arrives to it
c.the proportion of the time Andy is busy