Consider the following probability distribution: a. Find and 2 . b. Find the sampling distribution

Question:

Consider the following probability distribution:

a. Find μ and σ².

b. Find the sampling distribution of the sample mean x-bar for a random sample of n = 2 measurements from this distribution.

c. Show that x-bar is an unbiased estimator of μ.

d. Find the sampling distribution of the sample variance s² for a random sample of n = 2 measurements from this distribution.

e. Show that s² is an unbiased estimator for σ².

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...