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# hw7 - STAT 225 Homework 7 Due Tuesday June 16 Comments 1...

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STAT 225 - Homework 7 Due Tuesday June 16 Comments: 1. This homework is due Tuesday, June 16 in class, BEFORE class starts. 2. Please remember staple if you turn in more than one page. 3. You must always SHOW ALL WORK. If you do not show your work, you may not receive full credit. Note: The text is using Y 1 and Y 2 instead of X and Y . Feel free to change to X and Y 1. Page 242, problem 5.22 parts (a) and (b) . 2. Page 252, problem 5.48 3. An urn contains 2 red balls and 3 white ones. 3 balls are taken out at random one after the other with no replacement. Define: X - the number of white balls obtained after the first two balls are taken out. Y - the number of white balls obtained after all three balls are taken out. (a) Derive the joint probability distribution of X and Y , P XY ( x, y ), in a form of a table. (b) Are X and Y independent? Justify your answer. 4. Consider the following joint pdf: P XY ( x, y ) = e - 3 λ λ x + y 2 y x ! y !

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hw7 - STAT 225 Homework 7 Due Tuesday June 16 Comments 1...

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