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1. Let Y be b(400, ). Compute an approximate value of .
2. If Y is b(100, ), approximate the value of .
3. Let Y be b(n, 0.55). Find the smallest value of n such that (approximately)
3. Let zero elsewhere, be the pdf of a random variable X. Consider a random sample of size 72 from the distribution having this pdf. Compute approximately the probability that more than 50 of the observations of the random sample are less than 3.
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