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.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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