JP investigates two random variables, X and Y, where Y X². We can calculate E(XY) = 0, E(X) = 0, and E(Y) = 3. (a) Using this information, find COV(X,Y). (b) Write a sentence describing association between X and Y. (c) Are X and Y independent? Justify your answer. Include a statement about your co- variance calculation in your answer. (You do NOT need to complete any calculations to answer this question.)

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JP investigates two random variables, X and Y, where Y = X². We can calculate
E(XY) = 0, E(X) = 0, and E(Y) = 3.
(a) Using this information, find COV(X,Y).
(b) Write a sentence describing association between X and Y.
(c) Are X and Y independent? Justify your answer. Include a statement about your co-
variance calculation in your answer. (You do NOT need to complete any calculations
to answer this question.)
Transcribed Image Text:JP investigates two random variables, X and Y, where Y = X². We can calculate E(XY) = 0, E(X) = 0, and E(Y) = 3. (a) Using this information, find COV(X,Y). (b) Write a sentence describing association between X and Y. (c) Are X and Y independent? Justify your answer. Include a statement about your co- variance calculation in your answer. (You do NOT need to complete any calculations to answer this question.)
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