answer all for upvote The arrival pattern of cars to a single-lane, drive-in window at a bank appears to be a Poisson process, with a mean rate of one per minute. Service timesby the teller appear to be exponentially distributed, with a mean of 45 seconds. Assuming that an arriving car will wait as long as necessary, determine:a) the expected number of cars waiting for service. Answer in 2 decimal places.b) the average time a car waits for service. Answer in hour and in 4 decimalplaces.c) the average time a car spends in the system. Answer in minutes and in integer value.d) the probability that there will be cars waiting in the street if bank grounds cn hold a maximum of five automobiles. Answer in 3 decimal places.

Poisson arrival, exponentially distributed service with one server. Let's calculate each part step…

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The arrival pattern of cars to a single-lane, drive-in window at a bank appears to be a Poisson process, with a mean rate of one per minute. Service times
by the teller appear to be exponentially distributed, with a mean of 45 seconds. Assuming that an arriving car will wait as long as necessary, determine:
a) the expected number of cars waiting for service. Answer in 2 decimal places.
b) the average time a car waits for service. Answer in hour and in 4 decimalplaces.
c) the average time a car spends in the system. Answer in minutes and in integer value.
d) the probability that there will be cars waiting in the street if bank grounds cn hold a maximum of five automobiles. Answer in 3 decimal places.

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