Homework 11 (1) - Homework Assignment 1 Jesse James is a lawn mower repairman Lawn mowers arrive for repair according to a Poisson distribution at an

Homework 11 (1) - Homework Assignment 1 Jesse James is a...

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Homework Assignment 1. Jesse James is a lawn mower repairman. Lawn mowers arrive for repair according to a Poisson distribution at an average rate of 4 per day. He services the lawn mowers according to an exponential distribution averaging 4.6 repairs per day. Determine (a) the average time an lawn mower is out of service for repair, (b) the average number lawn mowers waiting for repair, and (c) the percent of time Jesse James is busy making repairs. 2. To raise awareness of individuals own blood pressure, the Heart Association plans to install a free blood pressure testing booth in Tyler Mall for the week. Previous experience indicates that, on the average, 10 persons per hour request a test. Assume arrivals are Poisson from an infinite population. Blood pressure measurements can be made at a constant time of five minutes each. Determine (a) what the average number of persons in line will be, (b) the average number of persons in the system, (c) the average amount of time a person can expect to spend in line, (d)
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