Question

Problem 7. (0%) (Sec. 8.4 Transformations of Two Random Variables) and X, be two independent exponential random variables with the identical mean 1/1 Let Y1 = X1 and Y2 = X1 + X2. Use Theorem 8.8 (on pp. 356 - 357 of the textbook) to find the probability density function of Y, by the following steps. (a) (0%) Find fxx, (21,22), the joint probability density function of X and X2. (b) (0%) Find fyı,ya (41, 42), the joint probability density function of Yį and Y2. (c) (0%) Find fy.(y), the probability density function of Y2.