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I need explanation and a breakdown of the calculation. Thank you. An insurance company found that 2.5% of male drivers between the ages of 18

I need explanation and a breakdown of the calculation. Thank you.

An insurance company found that 2.5% of male drivers between the ages of 18 and 25 are involved in serious accidents annually. Assume every such accident costs the insurance company $65,000 and that a driver can only have one of these accidents in a year.

a)If the company charges $2500 for such coverage, what is the chance that it loses money on a single policy

b)Suppose the company writes 1000 such policies to a collection of drivers. How many accidents can happen before the company loses money?

c)What is the expected number of accidents?

d) Assume the standard deviation from 1000 policies is 4.937. What is the probability the company loses money on these policies?

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