Question: A random sample of size n = 100 is taken from an infinite population with the mean = 75 and the variance 2 =

A random sample of size n = 100 is taken from an infinite population with the mean µ = 75 and the variance σ2 = 256.
(a) Based on Chebyshev’s theorem, with what probability can we assert that the value we obtain for X will fall between 67 and 83?
(b) Based on the central limit theorem, with what probability can we assert that the value we obtain for X will fall between 67 and 83?

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