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The instructions and problems for the final exam of math 408: probability and statistics, spring 2005. The exam covers topics such as independent events, mutually independent events, conditional probability, moment generating functions, and exponential distributions. Students are required to solve 16 problems worth a total of 90 points, using basic calculators and showing all work. The exam is closed-book.
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Points
(b) Find P (D).
(c) Find P (A|D).
(d) Are C and D independent? Justify your answer!
(b) Find the marginal density fY (y) of Y. (Be sure to specify the range!)
(c) Find E(XY ).