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Unformatted text preview: Stat 5101 Final Exam December 17, 2008 Name Student ID The exam is closed book and closed notes. You may use three 8 1 2 × 11 sheets of paper with formulas, etc. You may also use the handouts on “brand name distributions” and Greek letters. Put all of your work on this test form (use the back if necessary). Show your work or give an explanation of your answer. No credit for numbers with no indication of where they came from. The points for the questions total to 200. There are 7 pages and 10 problems. 1. [20 pts.] Suppose the random vector ( X,Y ) has the PDF f ( x,y ) = 1 2 ( x + y + xy ) e- x , < x < ∞ , < y < 1 . (1) Find the marginal PDF of Y . The definition of a function describes the domain as well as the rule. 1 2. [20 pts.] Suppose the random vector ( X,Y ) has the PDF f ( x,y ) = 6 7 ( x + y ) 2 , < x < 1 , < y < 1 . Find the conditional PDF of Y given X . The definition of a function describes the domain as well as the rule....
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- Spring '02
- Standard Deviation, Probability theory, pts, approximate normal distribution