3. Recall the rules for Pick Three from the Pennsylvania Lottery (see problem 3 in section 1.5.2)....
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3. Recall the rules for “Pick Three” from the Pennsylvania Lottery (see problem 3 in section 1.5.2). Suppose that 2000 players choose their three digit numbers independently of the others on a particular day.
(a) Find the mean and variance of the number of winners.
(b) Find an approximation to the probability of at least three winners on that day?
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