# pp2 - FINAL EXAM PSTAT 5E HSU Name Signature 1 I have two...

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FINAL EXAM PSTAT 5E HSU 12/12/00 Name Signature 1. I have two cats, Ray and Felix, who behave independently of one another. I know that at 4:00 pm there is a 0.3 chance that Ray will be in my garage and 0.9 chance that Felix will be in my garage. (a) If I walk into my garage some day at 4:00 pm, what is the probability that both cats will be in the garage? (b) If I walk into my garage some day at 4:00 pm, what is the probability that at most one cat will be there? (c) Consider the random variable X which represents the number of cats I ﬁnd in my garage at 4:00 pm. Find the probability distribution of X. (d) Calculate the expected value and variance of X in (c). 1

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2. Of the freshmen in a certain college, it is known that 40% attended private secondary schools and the remainder attended public schools. The registrar reports that 30% of all students who attended private secondary schools but only 20% of those who attended public schools attain A averages in their freshman year. At the end of the year, one student is chosen at random from the freshman class. (a) What is the probability that he attended a public school and attains an A average in
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## This note was uploaded on 06/18/2009 for the course STAT Pstat 5E taught by Professor Landrigan during the Spring '08 term at UCSB.

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pp2 - FINAL EXAM PSTAT 5E HSU Name Signature 1 I have two...

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