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Let Xi, i = 1, 2..., 48, be independent random variables that are uniformly distributed on...

Let Xi, i = 1, 2..., 48, be independent random variables that are uniformly distributed on the interval [-0.5, 0.5].

(a) Find the probability Pr(|X1|) < 0.05

(b) Find the approximate probability P (|Xbar| ≤ 0.05).

(c) Determine an approximation of a such that P(Xbar ≤ a) = 0.15

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