Unformatted text preview: February 7 given that the student was in class on that day? 7.5. Suppose we draw two tickets from a hat that contains tickets numbered 1, 2, 3, 4, 5. Let X be the ﬁrst number drawn and Y be the second. Find the joint distribution of X and Y . 7.6. Suppose that X has density function cx 2 for 0 < x < 3 and 0 otherwise. Find c , and, using that value of c , ﬁnd EX , E ( X 2 ), and var( X ). 7.7. Let X be as in the previous problem. Find P ( X < 1 . 5) and P ( X > 2). 7.8. Suppose X has a Poisson distribution with λ = ln 2. Find all the medians of X . 7.9. Suppose X 1 ,...,X n are independent exponential( λ ). Show that min { X 1 ,...,X n } is exponential with parameter nλ ....
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This note was uploaded on 02/13/2012 for the course MATH 411 taught by Professor Staff during the Fall '08 term at Texas A&M.
 Fall '08
 Staff
 Math

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