Compute the expected value of the payoff to a particular client (as was told above, with no deductible). O $2500 O $25 $75 O $50

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 33E: Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and...
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Now, we come back to the case of complete insurance. Below Questions 3-8 of this group
concerns this case.
Question 3
Compute the expected value of the payoff to a particular client (as was told above, with no
deductible).
$2500
$25
$75
$50
Transcribed Image Text:Now, we come back to the case of complete insurance. Below Questions 3-8 of this group concerns this case. Question 3 Compute the expected value of the payoff to a particular client (as was told above, with no deductible). $2500 $25 $75 $50
A particular "homogeneous" travel accident insurance portfolio consists of 5,000
policies issued for a period of one year. The probability that a randomly
chosen insured will require the reimbursement of her/his losses is 3%,
and if a loss event has occurred, then the amount of the loss is a uniform
r.v. § ranging from $0 to $5,000. Amounts of the payoffs for
different policies are independent.
Finish the following Questions: 1-8. Numerical answers below may be rounded.
Advices: 1) It make sense to set $100 as a unit of money and recalculate the answer at the very end
of calculations.
(b-a) ²
12
2) Recollect that for a distribution uniform on [a,b], the mean is and the variance is
a+b
2
2
3) When calculating, do it accurately (certainly you can use calculators); just in case, double check.
Transcribed Image Text:A particular "homogeneous" travel accident insurance portfolio consists of 5,000 policies issued for a period of one year. The probability that a randomly chosen insured will require the reimbursement of her/his losses is 3%, and if a loss event has occurred, then the amount of the loss is a uniform r.v. § ranging from $0 to $5,000. Amounts of the payoffs for different policies are independent. Finish the following Questions: 1-8. Numerical answers below may be rounded. Advices: 1) It make sense to set $100 as a unit of money and recalculate the answer at the very end of calculations. (b-a) ² 12 2) Recollect that for a distribution uniform on [a,b], the mean is and the variance is a+b 2 2 3) When calculating, do it accurately (certainly you can use calculators); just in case, double check.
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