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X1, X2, ... , X38 is a random sample from a distribution with mean μ =...

X1, X2, ... , X38 is a random sample from a distribution with mean μ = 1.41 and variance σ2 = 5.34.

1. Find μx, the mean of the sample average.

2. Find σ2x, the variance of the sample average.

3. Find P(X ≤1.79).

4. Find P(X >1.79).

5. Find P(0.66 < X≤ 1.55).

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