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 0.01. • 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 4 tornadoes in a 21-year period.

If the probability of one event occurring is 1/4 and the probability of another event occurring is 1/10, what is the probability that both events will occur?

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.

Suppose a baseball player's batting average is .325. What is the probability that in the next 100 times at bat he will get at most 30 hits?

The probability that an applicant will be approved for a mortgage is 0.15. Each applicant has the same probability of being approved and the event that they are approved are independent. What is the probability that out of three applicants, exactly two of them get approved? Enter your answer as a decimal, with three decimal places. For example, if the probability is 15.37%, enter 0.154

A certain disease has an incidence rate of 0.2%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.