Question: Problem 5.26 Suppose the sequence X1,...,X12 is a random sample taken from the uni[1]form distribution on the interval [0, 1](Equation 4.11). (a) Compute the mean

Problem 5.26 Suppose the sequence X1,...,X12 is a random sample taken from the uni[1]form distribution on the interval [0, 1](Equation 4.11).

(a) Compute the mean and variance of the sample total T = X1 + ... + X12.

(b) What is the largest value that T can assume? The smallest?

(c) Use the central limit theorem to compute approximate values for P(T > 8) and P(T < 5).

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