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Let X and Y have the joint p.d.f. f(x,y)= 1 when |x2 −y2| < 1        ...

Let X and Y have the joint p.d.f.

  1. f(x,y)= 1 when |x2 −y2| < 1

        = 0 otherwise

2. Then,

(a) Find the marginal distributions of X and Y respectively.

(b) Obtain the conditional distribution of Y given X = x, for 0 < x < 1.

(c) Find the mean and variance of X only.

Math   Statistics-And-Probability   
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