Please help me Consider two continuous random variables X and Y characterized by the following jointprobability density function1.fxx(x,y) = {ce-(ax+by), 0 0, b >0, c > 0.Find the relationship between a, b, and c to make fx y(x,y) a valid probabilitydensity function.a)Compute the marginal probability density function of X, and leveraging answerin a), choose a, b, and c such that X is exponentially distributed with parameter2 = 3, i.e. X ~ EXPO(3).b)c)Compute the expectation of X, i.e. E(X), and the variance of X, i.e. Var(X).d)Compute the marginal probability density function of Y.e)Compute the expectation of Y, i.e. E(Y), and the variance of Y, i.e. Var(Y).f)Compute the probability that X is smaller or equal to 3 and Y is smaller or equalto 2, i.e. P(X < 3nY < 2).g)Compute the probability that Y is smaller or equal to 2, i.e. P(Y < 2).h)Compare the results obtained in f) and g) and comment.

Name: Please help me Consider two continuous random variables X and Y charac
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please help me Consider two continuous random variables X and Y characterized by the following jointprobability density function1.fxx(x,y) = {ce-(ax+by), 0 0, b >0, c > 0.Find the relationship between a, b, and c to make fx y(x,y) a valid probabilit