Functions of Random Variables - Method of transformations
Random variable Y that has an exponential distribution with mean equal to 4. U = 3Y+1. Use the method of transformations to derive the density function for U.
A density function is found. The solution is well presented.
Joint and Marginal PDFs of Points in a Rectangle - 9. Suppose that a point (X, Y) is chosen at random from the rectangle S = {(x, y) 0 ≤ r ≤ 2 and 1 ≤ y ≤ 4}.
(a) determine the joint pdf of X and Y, the marginal pdf of X and t ...