Question: 1 (10 marks): Consider f_(X)(x)=e^(-x),0 < x and joint probability density function f_(XY)(x,y)=e^(-y) for 0 < x < y. Determine the following: (a) Conditional probability

1 (10 marks): Consider f_(X)(x)=e^(-x),0 < x and joint probability density function f_(XY)(x,y)=e^(-y) for 0 < x < y. Determine the following: (a) Conditional probability distribution of Y given X=1. (b) E(YX=1)= (c) P(Y < 2X=1)= (d) Conditional probability distribution of X given Y=4

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