2 Let X And Y Be Two Continuous Random Variables A Show That If X And Y Are Independent Then They Are Also Uncorrel 1 (27.21 KiB) Viewed 25 times
can you answer part c
2. Let X and Y be two continuous random variables. (a) Show that if X and Y are independent, then they are also uncorrelated. (b) Show that if X and Y are independent, then Var(X Y) = Var(x) + Var(Y). (c) Show that for the random variables X and Y, Var(X+Y) Var(x) + Var(Y), that is, the standard deviation of the sum is less than or equal to the sum of standard deviations.
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