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Unformatted text preview: (measured in hours) is given by f ( x ) = ( 10 x 2 , for x > 10 , for x ≤ 10 . (a) Find P ( X > 20) . (b) What is the cumulative distribution function of X ? 4 4. Suppose we put 10 indistinguishable balls into 6 boxes. What is the probability there will be exactly 2 empty boxes? 5 5. When Al and Bob play tennis, Al wins a set with probability . 7 while Bob wins with probability . 3 . What is the probability Al will be the ﬁrst to win 2 sets? 6 6. What is the probability that 5 people have birthdays that fall in two months but not all in the same month? (Assume that a birthday is equally likely to fall in any of the 12 months.) 7...
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 Summer '07
 Staff
 Normal Distribution, Probability, Probability distribution, Probability theory, probability density function, Cumulative distribution function

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