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A Population Has Distribution
Let X1 and X2 Xˉ\bar{X}

Question 28

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A population has distribution
   A population has distribution    Let X<sub>1</sub> and X<sub>2</sub> be independent and each have the same distribution as the population.  (a) Find the expected value and variance of X<sub>1</sub>. (b) Determine the missing elements in the table for the sampling distribution of  \bar{X}  = (X1 + X2) / 2     (c) Find the expected value and variance of  \bar{X} . (d) If the sample size is increased to 25, give the mean and variance of  \bar{X} Let X1 and X2 be independent and each have the same distribution as the population.

(a) Find the expected value and variance of X1.
(b) Determine the missing elements in the table for the sampling distribution of Xˉ\bar{X} = (X1 + X2) / 2
   A population has distribution    Let X<sub>1</sub> and X<sub>2</sub> be independent and each have the same distribution as the population.  (a) Find the expected value and variance of X<sub>1</sub>. (b) Determine the missing elements in the table for the sampling distribution of  \bar{X}  = (X1 + X2) / 2     (c) Find the expected value and variance of  \bar{X} . (d) If the sample size is increased to 25, give the mean and variance of  \bar{X}
(c) Find the expected value and variance of Xˉ\bar{X} .
(d) If the sample size is increased to 25, give the mean and variance of Xˉ\bar{X}

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(a) 2 and ...

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