The number of arrivals at a local petrol station between 3:00 and 5:00pm has a Poisson distribution with a mean of 12. a. Find the probability that the number of arrivals between 3:00 and 5:00pm is at least 10. b. Find the probability that the number of arrivals between 3:30 and 4:00pm is at least 10. c. Find the probability that the number of arrivals between 4:00 and 5:00pm is exactly two

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 arrivals at a local petrol station between 3:00 and 5:00pm has a
Poisson distribution with a mean of 12.
a. Find the probability that the number of arrivals between 3:00 and 5:00pm is
at least 10.
b. Find the probability that the number of arrivals between 3:30 and 4:00pm is
at least 10.
c. Find the probability that the number of arrivals between 4:00 and 5:00pm is exactly two

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