An insurance policy has a deductible of 10. Losses follow a probability distribution with density fx...
3. (4 points) A manufacturer's annual losses follow a distribution with density function: 2.5(0.6)2.5 f(x)235x 0 elsewhere To cover its losses, the manufacturer purchases an insurance policy with an annual deductible of 3. Let Y be the insu payment. a) What is the difference between the median and the 99th percentile of Y? What is the mean of the manufacturer's annual losses not paid by the insurance policy?
3. (4 points) A manufacturer's annual losses follow a distribution with density...
1. A manufacturer’s annual losses follow a distribution with
density function f(x) = 2.5(0.6)2.5/ x 3.5 , x > 0.6 0,
otherwise. The manufacturer purchases an insurance policy to cover
its annual losses with an annual deductible of 2. Calculate the
mean of the manufacturer’s annual losses paid by the insurance
policy. (A) 0 (B) 0.05 (C) 0.07 (D) 0.12 (E) 0.16
1. A manufacturer's annual losses follow a distribution with density function 2.5(0.6)2.5 f(x)-350.6 0, otherwise The manufacturer purchases...
An insurance policy covers losses X and Y which have joint density function 24y f(x,y) , y>0. (a) Find the expected value of X (b) Find the probability of a payout if the policy pays X + 2Y subject to a deductible of 1 on X and 1 on 2Y. (c) Find the probability of a payout if the policy pays X +2Y subject to a deductible of 2 on the total payment X + 2Y
parts a, b and c please
3. An insurance policy covers losses X and Y which have joint density function (a) Find the expected value of X. (b) Find the probability of a payout if the policy pays X + 2Y subject to a deductible of 1 on X and 1 on 2Y (c) Find the probability of a payout if the policy pays X +2Y subject to a deductible of 2 on the total payment X +2Y.
3. An...
An insurance policy covers losses X and Y which have joint density function 24y f(x,y) , y>0. (a) Find the expected value of X (b) Find the probability of a payout if the policy pays X + 2Y subject to a deductible of 1 on X and 1 on 2Y. (c) Find the probability of a payout if the policy pays X +2Y subject to a deductible of 2 on the total payment X + 2Y
An insurance policy covers...
2. (2.5 Points) An insurance company sells an autoinsurance policy that covers losses incurred by a policyholder, subject to a deductible of $100. Losses (in $) incurred have cumulative distribution function (cdf) F(t) where F(t) 0, if t <0; and F(t) 1 - exp(-t/300), if t>O (a) What is the 95th percentile of losses incurred? (b) What is the 95th percentile of the actual losses that exceed the deductible?
An insurance policy pays for a random loss X subject to a deductible of 550. The loss amount is modeled as a continuous random variable with density function 4500 for x > 500 f(x) = { otherwise Determine the expected payment made under this insurance policy.
An auto insurance policy has a deductible of 1 and a maximum claim payment of 5. Auto loss amounts follow an exponential distribution with mean 2. Calculate the expected claim payment made for an auto loss.
Problem 30.17 t Losses covered by an insurance policy have the density function 0.001 0T 1000 j(r)-s otherwise. An insur ance company reimburses losses in excess of a deductible of 250. Calculate the difference between the median and the 20th percentile of the insurance company reimbursement, over all losses
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let β > 0, δ > 0. Consider the probability density function x>0 zero otherwise. Find the probability distribution of W-X a Determine the probability distribution of W by finding the c.d.f. of W, F w(w). i Find the c.d.f. of X, Fx(x) "Hint" 1: u-substitution: u- "Hint" 2: "Hint" 3: Should be FX(0)-0, P(Xs) There is no such thing as a negative cumulative distribution...