Question: 1. (15 points) Let X and Y be two random variables distributed on [(1,3)], with distribution functions F and G respectively. Assume that X FOSD

1. (15 points) Let X and Y be two random variables distributed on [(1,3)], with distribution functions F and G respectively. Assume that X FOSD Y. (a) Show that E(X) 2 EU\"); (b) Note that this does not mean X 2 Y. To see this, let X be uniformly distributed on [0,1]. Let Y = 1 t/X. Show that X FOSD Y, but X 2 Y does not hold

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