Suppose that a fair die is rolled 1000 times. (a) Estimate the probability that the number of

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Suppose that a fair die is rolled 1000 times.
(a) Estimate the probability that the number of 6s is between 150 and 180.
(b) What is the smallest value of n for which there is a probability of at least 99% of obtaining at least 50 6s in n rolls of a fair die?
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