Brad buys 2 ounces of gold and 30 ounces of silver. We want to make a prediction of how much profit (increase in value of the gold and silver) Brad can expect after 1 year. Let X and Y be the change in value (after 1 year) of 1 ounce of gold and silver, respectively. Assume the joint PMF p X,Y
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(x,y) is uniformly distributed over the set of integers such that −1≤x≤3,−1≤y−x≤1 (a) Find the joint PMF p X,Y
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(x,y) and the marginal PMFs p X
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(x) and p Y
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(y). 1 (b) Find E[X] and E[Y]. (c) What is Brad's expected profit after 1 year?