A category 4 hurricane strikes the U. S. mainland once every 4 years, on average, a) What are the expected value and standard deviation of the number of category 4 hurricanes that will strike the U. S. mainland in the next century (100 years)? b) What is the probability that exactly 3 such hurricanes will strike the U. S. mainland in the next 10 years?

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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A category 4 hurricane strikes the U. S. mainland once every 4 years, on average,

a) What are the expected value and standard deviation of the number of category 4 hurricanes
that will strike the U. S. mainland in the next century (100 years)?
b) What is the probability that exactly 3 such hurricanes will strike the U. S. mainland in the
next 10 years?

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