# X and Y

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

https://brainmass.com/statistics/probability/independent-continuous-random-variables-4037

#### Solution Preview

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) ...

#### 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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