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Unformatted text preview: b. Find the variance of the cost of your purchase. 3 4. Let X,Y,Z be independent and uniformly distributed on the interval [0 , 10]. Find the probability that Y is the middle value, i.e., nd P ( X < Y < Z or Z < Y < X ). 4 5. Suppose X,Y have constant joint density on the triangle with vertices at (0 , 0), (3 , 0), and (0 , 3). Find E (min( X,Y )). 5 6. Design your own problem and solution. Create your own problem about one or two uniform continuous random variables. Design your problem in such a way that you would nd it enjoyable and also interesting (i.e., not completely trivial) if you found this problem in a probability book. Please provide the answer for your problem too. 6...
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This note was uploaded on 02/28/2012 for the course STAT 416 taught by Professor Staff during the Fall '08 term at Purdue UniversityWest Lafayette.
 Fall '08
 Staff
 Probability

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