Consider the lottery described. (a) Assuming six million tickets are sold and that each player selects his/
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(a) Assuming six million tickets are sold and that each player selects his/ her number independent of all others, find the exact probability of fewer than 3 players winning the lottery.
(b) Approximate the probability in part (a) using the Poisson approximation to the binomial distribution.
(c) Approximate the probability in part (a) using the central limit theorem. In this example, which approximation is more accurate?
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Probability and Random Processes With Applications to Signal Processing and Communications
ISBN: 978-0123869814
2nd edition
Authors: Scott Miller, Donald Childers
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