9. Let X and Y be continuous random variables with joint density function fxy (x, y) = 0.75x, 0 1). calculate the marginal density functions of the random vector. .

The continuous random variables X and Y are statistically independent and have marginal density functions fx(x) = 2x, 0 1. y2' Calculate the probability P(X < 0.5, Y < 2)

Consider two continuous random variables X and Y with marginal distributions g(x) and h(y)respectively and the joint density function given by: x > 0, 0 < y < 2 elsewhere. f (r.y) Then: X and Y ar statistically dependent f(x,y)#g(x)h(y) None of these f(ylx)=g(x)

Let X be a uniform random variable on the interval (-3,3) and let Y = X^2 A) find E(Y). B) find the probability density function of Y

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Exz fet X, X2, Xn fat X, Xz, be a random dist ribution witk sample from Hhe 'parameter A Paissen Estimate 1.