Identify the distribution of (X, Y, Z, W) by name.

the joint probability mass function of (X, Y, Z, W). Identify the distribution of (X, Y, Z, W) by name.
Section 6.2

xercis Suppose X, Y have joint density function
.11:7(xy ± y2), .f (x, = o,
0 < x < 1 and 0 < y < 1 otherwise.
(a) Check that f is a genuine joint density function. (b) Find the marginal density functions of X and Y. (c) Calculate the probability P(X < Y). (d) Calculate the expectation E[X2 238 Joint distribution of random variables Exercise 6.6. Suppose that X, Y are jointly continuous with joint probability density function xe-41+54 , if x > 0 and y > 0 f(x,y) = 0, otherwise. (a) Find the marginal density functions of X and Y. (b) Calculate the expectation MY]. (c) Calculate the Pv Potntinn Fr x 1

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