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# X and Y

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1)If X and Y are both discrete, show that ʸ ̄ xPX/Y9x/y)=1 for all y such that pY(y)>0.

10) Suppose X and Y are independent continuous random variables. Show that
E[X/Y=y]=E[X] for all y

##### Solution Summary

The solution addresses if X and Y are both discrete, show that ʸ ̄ xPX/Y9x/y)=1 for all y such that pY(y)>0. Suppose X and Y are independent continuous random variables. Show that E[X/Y=y]=E[X] for all y

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10) For two random variables X and Y to be independent,it is required that no possible experimental value of X be able to give any new information about the probability of any experimental value of Y (and, vice versa).

Therefore, for each and every (and all) ...

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