Question: q assistance in understanding and solving this example from probability...
Q: Assistance in understanding and solving this example from Probability and Statistical (Conditional Distributions) with the steps of the solution to better understand, thanks.
**Please give the step by steps with details to completely see how the solution came about.
1) Suppose X and Y both take values in [0,1] with joint probability density f(x,y) = 4xy.
a) Find fx(x) and fy(y), the marginal probability density functions.
b) Are the two random variables independent? Why or why not?
c) Compute the means and variances of X and Y.
d) Find P(X Y).