A Population Has Distribution

Let X₁ and X₂

Essay

A population has distribution

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 $\bar{X}$ = (X1 + X2) / 2
(c) Find the expected value and variance of $\bar{X}$ .
(d) If the sample size is increased to 16, give the mean and variance of $\bar{X}$