Homework Answers
To do it we need to know the marginal probability distribution function of X at first. Then we will get the standard deviation with the help of the formula, Variance(X)= E(X2)-(E(X))2. Thus we will compute the E(X) and E(X2) by using the probability distribution function of X.
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Problem 39.27 t A hurricane policy covers both water damage, X, and wind damage, Y, where...
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
An insurance policy covers...
Let the random variable X and Y have the joint probability density function. fxy(x,y) lo, 3....
Let the random variable X and Y
have the joint probability density function.
fxy(x,y) lo, 3. Let the random variables X and Y have the joint probability density function fxy(x, y) = 0<y<1, 0<x<y otherwise (a) Compute the joint expectation E(XY). (b) Compute the marginal expectations E(X) and E(Y). (c) Compute the covariance Cov(X,Y).
3. An insurance policy covers losses X and Y which have joint density function (a) Find the expec...
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) ,...
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
(a) Sketch the region in the (x,y) plane where ??,?(?, ?) ≠ 0. (b) Find the...
(a) Sketch the region in the (x,y) plane where ??,?(?, ?) ≠
0.
(b) Find the marginal probability density functions ??(?) and
??(?) of ? and ? respectively.
(c) Are X and Y independent?
(d) Find P(Y>X).
(e) Let y be some real number in the range 0 ≤ y ≤ 1. Find the
conditional probability density function ??|?(?|?).
(f) Find ?[?|? = ?] (where ? is some real number in the range 0
≤ ? ≤ 1).
The joint...
3. Let the random variables X and Y have the joint probability density function 0 y...
3. Let the random variables X and Y have the joint probability density function 0 y 1, 0 x < y fxy(x, y)y otherwise (a) Compute the joint expectation E(XY) (b) Compute the marginal expectations E(X) and E (Y) (c) Compute the covariance Cov(X, Y)
a. Given the joint probability den- sity function fxy(x, y) as, Skxy, (x, y) e shaded...
a. Given the joint probability den- sity function fxy(x, y) as, Skxy, (x, y) e shaded area Jxy(, 9) = 10 otherwise Find [i] k [ii] fx(x) [iii] fy(y) Are X and Y independent? b. Given the joint probability density function fxy(x, y) as, fxy(x, y) = { 0 kxy, (x, y) E shaded area otherwise Find [i] k [ii] fx(x) [iii] fy(y) Are X and Y independent? 2 1
The joint probability density function of two continuous random variables X and Y is Find the...
The
joint probability density function of two continuous random
variables X and Y is
Find the value
of c and the correlation of X and Y.
Consider the
same two random variables X and Y in problem [1] with the same
joint probability density function. Find the mean value of Y when
X<1.
fxy(x,y) = { C, 0 <y < 2.y < x < 4-y 10, otherwise
Plz help me to do both quetions. 6. The continuous random variables X and Y have...
Plz help me to do both quetions.
6. The continuous random variables X and Y have joint density 2e2)for and y 20 otherwise Find P(X >Y). (Answer: 3) 7. The continuous random variables X and Y have joint probability density function 10y for 01 and 0 yr fzy(z,y)=ï o otherwise Find the marginal density function fy(y). Show your work. Do not forget to indicate where the density is non-zero.
Let the random variables X, Y with joint probability density function (pdf) fxy(z, y) = cry,...
Let the random variables X, Y with joint probability density function (pdf) fxy(z, y) = cry, where 0 < y < z < 2. (a) Find the value of c that makes fx.y (a, y) a valid pdf. (b) Calculate the marginal density functions for X and Y (c) Find the conditional density function of Y X (d) Calculate E(X) and EYIX) (e Show whether X. Y are independent or not.
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...
Let the random variable X and Y
have the joint probability density function.
fxy(x,y) lo, 3. Let the random variables X and Y have the joint probability density function fxy(x, y) = 0<y<1, 0<x<y otherwise (a) Compute the joint expectation E(XY). (b) Compute the marginal expectations E(X) and E(Y). (c) Compute the covariance Cov(X,Y).
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
(a) Sketch the region in the (x,y) plane where ??,?(?, ?) ≠
0.
(b) Find the marginal probability density functions ??(?) and
??(?) of ? and ? respectively.
(c) Are X and Y independent?
(d) Find P(Y>X).
(e) Let y be some real number in the range 0 ≤ y ≤ 1. Find the
conditional probability density function ??|?(?|?).
(f) Find ?[?|? = ?] (where ? is some real number in the range 0
≤ ? ≤ 1).
The joint...
3. Let the random variables X and Y have the joint probability density function 0 y 1, 0 x < y fxy(x, y)y otherwise (a) Compute the joint expectation E(XY) (b) Compute the marginal expectations E(X) and E (Y) (c) Compute the covariance Cov(X, Y)
a. Given the joint probability den- sity function fxy(x, y) as, Skxy, (x, y) e shaded area Jxy(, 9) = 10 otherwise Find [i] k [ii] fx(x) [iii] fy(y) Are X and Y independent? b. Given the joint probability density function fxy(x, y) as, fxy(x, y) = { 0 kxy, (x, y) E shaded area otherwise Find [i] k [ii] fx(x) [iii] fy(y) Are X and Y independent? 2 1
The
joint probability density function of two continuous random
variables X and Y is
Find the value
of c and the correlation of X and Y.
Consider the
same two random variables X and Y in problem [1] with the same
joint probability density function. Find the mean value of Y when
X<1.
fxy(x,y) = { C, 0 <y < 2.y < x < 4-y 10, otherwise
Plz help me to do both quetions.
6. The continuous random variables X and Y have joint density 2e2)for and y 20 otherwise Find P(X >Y). (Answer: 3) 7. The continuous random variables X and Y have joint probability density function 10y for 01 and 0 yr fzy(z,y)=ï o otherwise Find the marginal density function fy(y). Show your work. Do not forget to indicate where the density is non-zero.
Let the random variables X, Y with joint probability density function (pdf) fxy(z, y) = cry, where 0 < y < z < 2. (a) Find the value of c that makes fx.y (a, y) a valid pdf. (b) Calculate the marginal density functions for X and Y (c) Find the conditional density function of Y X (d) Calculate E(X) and EYIX) (e Show whether X. Y are independent or not.
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