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 0.08. • 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 17-year period. 21.

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 0.08.
• 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 17-year period.

21. 
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 0.08.
• 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 17-year period.
 
22. 
Mrs. Bothe filled out a bracket for the NCAA National Tournament. Based on her knowledge of college basketball, she has a 0.52 probability of guessing any one game correctly.

What is the probability Mrs. Bothe will pick all 32 of the first round games correctly?

What is the probability Mrs. Bothe will pick exactly 14 games correctly in the first round?

What is the probability Mrs. Bothe will pick exactly 15 games incorrectly in the first round?
 
23. The Smith family was one of the first to come to the U.S. They had 5 children. Assuming that the probability of a child being a girl is .5, find the probability that the Smith family had:

at least 4 girls?

at most 2 girls?
  
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