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Unformatted text preview: b. Find the density f X ( x ) of X . c. Find the density f Y ( y ) of Y . 4 5. Suppose X,Y has joint density f X,Y ( x,y ) = ( 1 9 (3x )(2y ) if 0 ≤ x ≤ 3 and 0 ≤ y ≤ 2, otherwise. a. Are X and Y independent? Why or why not? b. Find the density f X ( x ) of X . c. Find the density f Y ( y ) of Y . 5 6. Design your own problem and solution. Create your own problem about a pair of jointlydistributed continuous random variables X and Y that may or may not be independent. State whether they are independent or dependent, and then calculate their densities f X ( x ) and f Y ( y ). 6...
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 Fall '08
 Staff
 Probability, Probability distribution, probability density function, density fY

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