Problem 6: Random variables X and Y have the joint CDF 0.5 (y + 1) (1 – e-2r), w 2 0 and |y| < 1, Fx,y(x, 9) 1 - - e-2r. x 20 and y > 1, 0, otherwise. (a) What is P(X s 1, Y < 0]? (b) What is P(X s 0, Y < 1]? (c) What is P(0 < X < 1,0 < Y < 1)?

4. Suppose X₁ and X₂ are independent random variables with cdf Fx(x) = sin(x), 0 ≤ x ≤ 1/ a. Show that fx(2) (x) = 2sin(x) cos(x), where X (2) is the random variable for the 2nd order statistic. (Remember, we only have 2 random variables.) b. Show that fx(1)(x) = 2cos(r) [1 sin(x)], where X(1) is the random variable for the 1st order statistic.

18. Suppose X and Y are random variables with E (X) = 2 E (Y) = 3 E (X*) = 53 E (Y*) = 45 E (XY) = -21 (a) Find V (X) (b) Find V (Y) (c) Find Cov(X, Y) (d) Find V (2X –- 3Y')

anyone help me with to solve this two problem