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Unformatted text preview: D denote the distance between them. (a) (20 points) Find the probability distribution function of the random variable D . (b) (10 points) Find the probability density function of the random variable D . (c) (15 points) Find the expected value of D . Bonus question: (5 points) Now nd the expected value of D without the use of the distribution or density function, only by conditioning on the two points falling in the same halfinterval, or one falling in (0 , 1 2 ) and the other in ( 1 2 , 1). In the rst case, the expectation is simply divided by two (why?), while in the second case its very easy to compute....
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 Fall '05
 BALAZS
 Math, Probability

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