Morgan is a training consultant for five mid-sized manufacturing firms. On average, each of their five clients calls for consulting assistance once every 20 days. Morgan typically spends an average of five days at the client's firm during each consultation. Assuming the time between client calls follows an exponential distribution, determine the following. (a) Determine the average number of clients Morgan has on backlog. (Round your answer to two decimal places.) (b) Determine the average time (in days) a client must wait before Morgan arrives. (Round your answer to two decimal places.) days (c) Determine the proportion of time Morgan is busy. (Round your answer to four decimal places.)

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Morgan is a training consultant for five mid-sized manufacturing firms. On average, each of their five clients calls for consulting
assistance once every 20 days. Morgan typically spends an average of five days at the client's firm during each consultation.
Assuming the time between client calls follows an exponential distribution, determine the following.
(a) Determine the average number of clients Morgan has on backlog. (Round your answer to two decimal places.)
(b) Determine the average time (in days) a client must wait before Morgan arrives. (Round your answer to two decimal places.)
days
(c) Determine the proportion of time Morgan is busy. (Round your answer to four decimal places.)
Transcribed Image Text:Morgan is a training consultant for five mid-sized manufacturing firms. On average, each of their five clients calls for consulting assistance once every 20 days. Morgan typically spends an average of five days at the client's firm during each consultation. Assuming the time between client calls follows an exponential distribution, determine the following. (a) Determine the average number of clients Morgan has on backlog. (Round your answer to two decimal places.) (b) Determine the average time (in days) a client must wait before Morgan arrives. (Round your answer to two decimal places.) days (c) Determine the proportion of time Morgan is busy. (Round your answer to four decimal places.)
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