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Unformatted text preview: b. at most 60 were minted in Philadelphia. In each case write (a) an expression for the exact (binomial) probability; and (b) the numerical result of either the Poisson or normal approximation, as ap-propriate. 1 Problem 4. (6 points) The moment generating function of X is given by ( t ) = 1 1 + t 2 . a. Find the variance of X. b. Find the moment generating function of 2 X + Y if X and Y are indepen-dent, identically distributed. (Hint: to handle the factor of 2, write down the denition of the moment generating function of X and replace X by 2 X there.) Problem 5 (3 points) Assume that pro golfers scores are normally dis-tributed with mean 70.5 and variance 4.3. After the rst day of play at a golf tournament the eld of 200 players will be downsized to 50 by cutting all those above a certain score. What is the highest cuto score that is likely to achieve this goal? 2...
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This note was uploaded on 02/17/2011 for the course MAT 521 taught by Professor Staff during the Spring '08 term at Syracuse.
- Spring '08