Let X and Y be continuous random variables having a joint probability density function (pdf) given by f(x, y) = e-y, (i)
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Let X and Y be continuous random variables having a joint probability density function (pdf) given by f(x, y) = e-y, (i)
Let X and Y be continuous random variables having a joint probability density function (pdf) given by f(x, y) = e-y, (i) (ii) (iii) = < y < x, 0 < x <∞⁰. Calculate P(X + Y < 1). Derive the conditional pdf of Y given that X = x. Find the value of P(Y> 2|X = 3). (10 marks)