Find probability density function

Reference no: EM13122371

Question about Probability density function
Let X and Y have joint probability density function f(x,y) (s,t) = ce ^ -(s + 2t) for 0 <= s, and 0 <= t. Find

(a) c

(b) Pr {min (X, Y) 1/3}

(d) The marginal probability density function of X

(e) E [XY]

Let X and Y be independent uniform (0,1) random variables. Compute

(a) Pr {X < Y}

(b) Pr {X = Y}

(d) Var[X]

(e) Var[X + Y]

Reference no: EM13122371

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