Assignment 11

Assignment 11 - Stat 5101(Geyer Fall 2009 Homework...

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Stat 5101 (Geyer) Fall 2009 Homework Assignment 11 Due Wednesday, December 9, 2009 Solve each problem. Explain your reasoning. No credit for answers with no explanation. If the problem is a proof, then you need words as well as formulas. Explain why your formulas follow one from another. 11-1. Suppose the random vector ( X,Y ) has variance matrix ± 4 - 3 - 3 9 ² Find sd( X ), sd( Y ), and cor( X,Y ). Note: cor( X,Y ) is correlation not co- variance. 11-2. Suppose sd( X ) = 5, sd( Y ) = 7, and cor( X,Y ) = 2 / 3. Find the variance matrix of the random vector ( X,Y ). 11-3. Suppose X has the Poisson distribution with mean 100. (a) Calculate Pr( X < 80) exactly. (b) Calculate Pr( X < 80) using the normal approximation without correc- tion for continuity. (c) Calculate Pr( X < 80) using the normal approximation with correction for continuity. (d) Which of (b) and (c) is closer to correct? (e) Calculate Pr( X > 120) exactly. (f) Calculate Pr(

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Assignment 11 - Stat 5101(Geyer Fall 2009 Homework...

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