Jan23p - EXAM P QUESTIONS OF THE WEEK S Broverman 2005 Week of January 23/06 and have a joint distribution on the two-dimensional region B C and

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EXAM P QUESTIONS OF THE WEEK S. Broverman, 2005 Week of January 23/06 \ ] "ŸBŸ" #ŸCŸ# and have a joint distribution on the two-dimensional region , , and the pdf of the joint distribution is (constant) on the region. 0ÐBßCÑ œ - Find the probability . l\lŸl]lÑ
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Week of January 23/06 - Solution Whenever a joint distribution has a constant density over the entire probability space , the W probability of any subregion is equal to . E Area of Area of E W The area of the full probability space is (the area of a rectangle with sides that are 2. #‚%œ) The graph of the region defined by is the shaded region illustrated below l\lŸl]l To find this region, we first find the boundary , which is the combination of the two l\lœl]l lines and . We then determine "which sides" of the lines represent the CœB Cœ B inequality. Alternatively, we consider the relationship between and in the four quadrants: BC (i) 1st quadrant, so and the inequality becomes ,
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This note was uploaded on 03/29/2010 for the course STATISTICS 50 taught by Professor Diaz during the Spring '10 term at California State University , Monterey Bay.

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Jan23p - EXAM P QUESTIONS OF THE WEEK S Broverman 2005 Week of January 23/06 and have a joint distribution on the two-dimensional region B C and

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