The number of cars entering a small parking lot is a random variable having a Poisson distribution with a mean of 1.5 per hour. The lot holds only 12 cars. a) Find the probability that the lot fills up in the first hour(assuming that all carsstay in the lot longer than one hour). b) Find the probability that more than 3 cars arrive between 9 am and 11 am.

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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The number of cars entering a small parking lot is a random variable having a Poisson distribution with a mean of 1.5 per hour. The lot holds only 12 cars. a) Find the probability that the lot fills up in the first hour(assuming that all carsstay in the lot longer than one hour). b) Find the probability that more than 3 cars arrive between 9 am and 11 am.
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