StatORJan07

# StatORJan07 - uniform distributions Each student waits for...

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Part Two: Probability Common Quals, Jan. 2007 Do THREE OUT OF FOUR QUESTIONS 1. Four balls are chosen (without replacement) from an urn with balls, two of which are black. The probability that both black balls are chosen is twice the probability that neither black ball is chosen. How many balls were in the urn in the beginning?

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January 2007, Common Quals, Probability Part 2. Two students decided to meet in the library between 10 and 11 am. They did not specify the time and they arrive independently during this time interval according to

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Unformatted text preview: uniform distributions. Each student waits for another for 10 minutes. Find the probability that the students meet. January 2007, Common Quals, Probability Part 3. Let X 1 , X 2 ,… be independent and identically distributed random variables having uniform distributions on [0,1]. Let t(x)=min{n>0: X 1 + … + X n >x}. Find P(t(x)>2). January 2007, Common Quals, Probability Part 4. Let X be a random variable with the PDF f(x)=0.5cos x when -± /2<x< ± /2. Find the variance of the random variable Y = sin x....
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## This note was uploaded on 01/31/2011 for the course AMS 507 taught by Professor Feinberg,e during the Fall '08 term at SUNY Stony Brook.

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StatORJan07 - uniform distributions Each student waits for...

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