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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,