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Unformatted text preview: n with 2 we have this moment generating function. Thus Y ~ Bin (2, 0.35) ( 29 ( 29 1 n t X M t pe p = + Exercise 3: (10 points) If Z~Bin(15,0.4) Find: a) P(X<10) b) ( 29 5 9 P X o < Using the Tables a) ( 29 ( 29 10 9 .966 P X P X < = = mand b) ( 29 ( 29 ( 29 ( 29 ( 29 5 9 9 5 8 4 .905 .217 0.688 P X P X P X P X P X < = << === Exercise 4: (10 points) In a class I have 40 right handed students and 10 left handed students. I select a random sample of 8 students. Let X be the number of right handed students in my sample. a) (5 points) State the distribution of X, by clearly writing all the parameters. b) (5 points) Find P(X=3). a) Hypergeometric with N=50, M=40, n=8 b) ( 29 40 10 3 5 3 50 8 P X = = (This exercise has a flaw It can be seen in another way It can be seen as a Binomial with n=8 and p=0.8. Why??)...
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 Fall '08
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 Probability

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