Unformatted text preview: = (.25 + 25)(.25 + 4) + 2(5)(2)(10)(4) + (.25 + 100)(1 + 16) = 2611.5625, so Var(M) = 2611.5625 – (50) 2 = 111.5625 e. E(M) = 50 still, but now Cov(X 1 ,X 2 ) = (.5)(.5)(1.0) = .25, so = 6.25 + 2(5)(10)(.25) + 100 = 131.25 Question 87 a. Substituting yields , so b. Same argument as in a c. Suppose . Then , which implies that (a constant), so , which is of the form . Chapter 6: Question 12 . Question 13 Question 16 a. b. . Setting the derivative with respect to equal to 0 yields , from which ....
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This note was uploaded on 01/31/2012 for the course STAT 1211 taught by Professor Hernandez during the Spring '08 term at Columbia.
 Spring '08
 Hernandez
 Statistics, Probability

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