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-The typical computer random-number generator yields numbers in a uniform distribution between 0 and 1, with a mean of 0.500 and a standard deviation of 0.289. Consider the following two problems, which appear at a glance to be very similar. One can be solved using the Central Limit Theorem. Which one and why? (a)Suppose a sample of size 50 is randomly generated. Find the probability that the mean is below 0.300. (b)Suppose a sample of size 15 is randomly generated. Find the probability that the mean is below 0.300.

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The Answer is The first may be solved using the Central Limit Theorem. The second has too small a sample size.

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