Question
How would you solve the below? Weather can inflict storm damage to a home. From year to year the damage is random. Let Y denote
How would you solve the below?
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=$20,793.
The mean of the damage in any year is $? (Rounded to two nearest decimal points)
The standard deviation of the damage in year is $? (Rounded to two nearest decimal points)
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.
E(), the expected value of the average damage is $? (Rounded to two nearest decimal points)
The probability that exceeds $2000 is ? (Rounded to four nearest decimal points)
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