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A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text: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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