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Unformatted text preview: urns contain the same total number of balls, and some balls are white and some are black. ±rom each of these urns, n ≥ 3 balls are drawn with replacement. ±ind the number n and composition of each urn if the probability all the balls taken from the Frst urn are white is equal to the probability that all the balls drawn from the second urn are either all white or all black. 4. Prove that if X is a Poisson random variable with parameter λ , then V ( X ) = λ . 1 5. Suppose you have a collection of days. 10 percent are rainy days, and 90 percent are dry days. If you select one of the rainy days at random, there is a 20 percent chance it will be a spring day; and if you select a dry day at random, there is an 80 percent chance it won’t be a spring day. If you select a spring day at random, what is the probability it was a rainy day? 2...
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 Spring '08
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 Statistics, Probability, Variance, Probability theory, percent chance, Poisson random variable, Andrew Wiles, fast food drive

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