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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0eba744-2ca5-4b9b-b356-631e195ec79e%2Fba01511a-2e35-4a39-9883-3f969ba39b53%2Fhpefqjo_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0eba744-2ca5-4b9b-b356-631e195ec79e%2Fba01511a-2e35-4a39-9883-3f969ba39b53%2F96sv976_processed.png&w=3840&q=75)
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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