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How would you solve the below, rounded to the nearest two decimal places? In any year, the weather can inflict storm damage to a home.

How would you solve the below, rounded to the nearest two decimal places?

In any year, the weather can inflict storm damage to a home. From year to year, the damage is random. Let Y denote the dollar value of damage in any given year. Suppose that in 95% of the years Y = $0, but in 5% of the years Y = $19,821

1) The mean of the damage in any year is $__

2)The standard deviation of the damage in any year is $__

Also consider an "insurance pool" of 100 people whose homes are sufficiently dispersed so that, in any year, the damage to different homes can be viewed as independently distributed random variables. Let denote the average damage to these 100 homes in a year.

3) E() the expected value of the average damage , is $__

4) The probability that exceeds $2,000 is __

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