Cabs pass your workplace according to a Poisson process with a mean of five cabs per hour. Suppose that you exit the workplace at 6:00 p.m. Determine the following: (a) Probability that 3 cabs pass by 6:30 p.m. (b) The expected number of cabs that pass by 6:10 (c) Probability that you wait more than 10 minutes for a cab.(

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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1. Cabs pass your workplace according to a Poisson process with a mean of five cabs per hour. Suppose
that you exit the workplace at 6:00 p.m. Determine the following:
(a) Probability that 3 cabs pass by 6:30 p.m.
(b) The expected number of cabs that pass by 6:10
(c) Probability that you wait more than 10 minutes for a cab.
Transcribed Image Text:1. Cabs pass your workplace according to a Poisson process with a mean of five cabs per hour. Suppose that you exit the workplace at 6:00 p.m. Determine the following: (a) Probability that 3 cabs pass by 6:30 p.m. (b) The expected number of cabs that pass by 6:10 (c) Probability that you wait more than 10 minutes for a cab.
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