An actuary models loss amounts under ainsurance policy using the Pareto distribu-tion. The cdf of the Pareto distributionSuppose that0 = 1400 and a = 1.6. What is the expectedis F(x) = 1(0/(x+0))ª.payment under a claim given that the policyhas a deductible of 350 and a limit of 1300?

Given that an actuary models loss amounts under an insurance policy using the Pareto distribution…

Answered: An actuary models loss amounts under a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose that 55% of all college seniors have a job prior to graduation. If a random sample of 75 college seniors is taken, approximate the probability that more than 44 have a job prior to graduation. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.
What is the probability that a day of the week selected at random is Wednesday
For the above model, determine the following: a. Mean Excess Loss Function b. Limited Expected Value Function c. The 75th Percentile
Suppose that a new treatment is successful in curing a common ailment 68% of the time. If the treatment is tried on a random sample of 60 patients, approximate the probability that at most 43 will be cured. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.) X
in a certain city of several million people, 6.1% of the adults are unemployed. If a random sample of 290 adults in this city is selected, approximate the probability that at least 16 in the sample are unemployed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.
Suppose that the borrowing rate that your client faces is 9%. Assume that the equity market index has an expected return of 13% and standard deviation of 25%, that rf = 5%. Your fund manages a risky portfolio, with the following details: E(rp) = 11%, p = 15%. What is the largest percentage fee that a client currently lending (y 1)? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 1 decimal place.) y 1
Consumer Banker Association released a report showing the lengths of automobile leases for new automobiles. The results are as follows. Lease Length in Months Percent of Leases 13-2425-3637-4849-60More than 60 11.2%37.6%27.4%23.6%0.2% (a) Use the midpoint of each class, and call the midpoint of the last class 66.5 months, for purposes of computing the expected lease term. Also find the standard deviation of the distribution. (Round your answers to two decimal places.) expected lease term in months standard deviation
The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 10 minutes. (a) Find the probability that the time interval between two successive barges is less than 8 minutes. (b) Find a time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t.
Consumer Banker Association released a report showing the lengths of automobile leases for new automobiles. The results are as follows. Lease Length in Months Percent of Leases 13-2425-3637-4849-60More than 60 11.5%36.7%29.5%21.5%0.8% (a) Use the midpoint of each class, and call the midpoint of the last class 66.5 months, for purposes of computing the expected lease term. Also find the standard deviation of the distribution. (Round your answers to two decimal places.) A. expected lease term months B. standard deviation
None
Show that the expectation of the exponential distribution with param- eter A is 1/A.
None

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

An actuary models loss amounts under a insurance policy using the Pareto distribu- tion. The cdf of the Pareto distribution is F(x) = 1 - (0/(x+0))ª. Suppose that 0 = 1400 and a = 1.6. What is the expected payment under a claim gven that the policy has a deductible of 350 and a limit of 1300?