An insurance policy covers losses X and Y which have joint density function 24y f(x,y) ,...
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...
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...
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?
(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 =
If X and Y have a joint probability density function specified by 2-(+2y) find P(X <Y).
(1 point) The joint probability density function of X and Y is given by f(x, y) = cx – 16 c”, - <x< 0 < b < co alt 0 < y < 0 Find c and the expected value of X: c = E(X) =
Question 12: Let X and Y have the joint probability density function Find P(X>Y), P(X Y <1), and P(X < 0.5)
Suppose a joint probability density function for two variables X and Y is given as follows: {24x0, if 0 < x < 1,0 < y < 1 f(x, y) = otherwise Please find the probability p (w > 1) =? 3
4. Let X and Y have joint density function le-x 0 < y < x < 0 Jxy(x, y) = lo elsewhere Another random variable of interest is U=X–Y. Find the probability density function for U.
4. Let X and Y have joint probability density function f(x,y) = 139264 oray3 if 0 < x, y < 4 and y> 4-1, otherwise. (a) Set up but do not compute an integral to find E(XY). (b) Let fx() be the marginal probability density function of X. Set up but do not compute an integral to find fx(x) when I <r54. (c) Set up but do not compute an integral to find P(Y > X).