Ompany prices its tornadó insürance using the following assumptions: • In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.03. • The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 12-year period. Hint: Use the binomial distribution withn- 12 and p- 0.03.

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 company prices its tornado insurance using the following assumptions:
• In any calendar year, there can be at most one tornado.
• In any calendar year, the probability of a tornado is 0.03.
• The number of tornadoes in any calendar year is independent of the number of tornados in any other
calendar year.
Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 12-year
period.
..
Hint: Use the binomial distribution with n-
12 and p- 0.03.
Transcribed Image Text:A company prices its tornado insurance using the following assumptions: • In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.03. • The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 12-year period. .. Hint: Use the binomial distribution with n- 12 and p- 0.03.
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