Question: Consider the following probability distribution: a. Find and 2 . b. Find the sampling distribution of the sample mean x-bar for a random

Consider the following probability distribution:

4 0 p(x)

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.

4 0 p(x)

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