The number of road accidents that occur in a major intersection monthly has a poison distribution with parameter μl = 50. a. What is the probability that 44 to 66 accidents occur in a month b. What is the probability that for three months there would be 143 to 160 accidents c. A minor intersection has the same monthly mean and variance as the major intersection, but follows the normal distribution. What is the probability that the minor intersection have more than 605 accidents in one year?

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 road accidents that occur in a major
intersection monthly has a poison distribution with parameter
μl = 50.
a. What is the probability that 44 to 66 accidents occur
in a month
b. What is the probability that for three months there
would be 143 to 160 accidents
c. A minor intersection has the same monthly mean and
variance as the major intersection, but follows the
normal distribution. What is the probability that the
minor intersection have more than 605 accidents in
one year?
Transcribed Image Text:The number of road accidents that occur in a major intersection monthly has a poison distribution with parameter μl = 50. a. What is the probability that 44 to 66 accidents occur in a month b. What is the probability that for three months there would be 143 to 160 accidents c. A minor intersection has the same monthly mean and variance as the major intersection, but follows the normal distribution. What is the probability that the minor intersection have more than 605 accidents in one year?
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