14.bivariate distributions 1: Problem 1 ite ons Previous Problem Problem List Next Problem (1 point) igs The bivariate distribution of X and Y is described below: X Y 1 2 ms 1 0.25 0.47 2 0.1 0.18 1 1 A. Find the marginal probability distribution of X. n 2 n 3 m 4 2 B. Find the marginal probability distribution of Y. C. Compute the mean and variance of X. Mean = Variance - C. Compute the mean and variance of Y. Mean = Variance . Note: You can earn partial credit on this problem. Proview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining.(17) 1. Consider a random experiment that consists of throwing a dart at a rectangle-shaped target with vertices at the (x, y) positions (-0.5, 0.0), (0.5, 0.0), (0.5, 2.0) and (-0.5, 2.0), resulting in outcome (x, y). Assume that the dart always hits the target and that the probability distribution is uniform over the surface of the target. Let the bivariate probability density function (pdf) be fxY(x, y) and the bivariate cumulative distribution function (CDF) be FxY(x, y). a. Sketch a bird's-eye view, looking straight down from above, showing the borders and "footprint" of pdf fxY(x, y) on the x-y plane. b. Find the value of pdf fxy(x, y) for x = 1, y = 1. Explain your work. fx * (, ) = 0 c. Find the value of CDF Fxy(x, y) for x = 1, y = 1. Explain your work. Fxy (x, 4) = . 5