An insurance policy covers losses X and Y which have joint density function 24y f(x,y) , y>0. (a)...
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...
Let X and Y be random losses with joint density function and 0 otherwise. An insurance policy is written to reimburse X +Y. Calculate the probability that the reimbursement is less than 1.
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...
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?
The random variables X and Y have joint density function f(x,y) = x+y, for 0 < x < 1, 0 < y < 1. Find the expected value of W = 3X + Y
2. Let X and Y be continuous random variables with joint probability density function fx,y(x,y) 0, otherwise (a) Compute the value of k that will make f(x, y) a legitimate joint probability density function. Use f(x.y) with that value of k as the joint probability density function of X, Y in parts (b),(c).(d),(e (b) Find the probability density functions of X and Y. (c) Find the expected values of X, Y and XY (d) Compute the covariance Cov(X,Y) of X...
The joint density function for X and Y is given as: f(x, y) = kxy for 0 < x < 2y < 1. Find the value of the constant k for which the p.d.f is legitimate. If the video does not work, click here to go to YouTube directly.
A joint probability density function is given by f(x,y)-c-x(2-x-y), for 0 < x < 1 and 0 < y < 1. Find the value of c to make this a valid density function.
A joint probability density function is given by f(x,y)-c-x(2-x-y), for 0
(1 point) Let x and y have joint density function p(2, y) = {(+ 2y) for 0 < x < 1,0<y<1, otherwise. Find the probability that (a) < > 1/4 probability = (b) x < +y probability =