Question: 3. (15 pts) The joint density function of X and Y is C+ 13109 2/2 if 0 X?); (b) Compute E(XY); (c) Compute Cov( X,

3. (15 pts) The joint density function of X and Y is C+ 13109 2/2 if 0 X?); (b) Compute E(XY); (c) Compute Cov( X, Y). 4. (5 pts) Type 1 (respectively type 2) light bulbs function for a random amount of time with mean 19 days (respectively 35 days). A light bulb randomly chosen from a bin is of type 1 with probability 0.3 and of type 2 with probability 0.7. Let X be the life time of this bulb. Find E(X)

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