Problem

Consider the following probability distribution: x1238p(x).1.4.4.1a. Find μ, σ2, and σ.b....

Consider the following probability distribution:

x	1	2	3	8
p(x)	.1	.4	.4	.1

a. Find μ, σ2, and σ.
b. Find the sampling distribution of for random samples of n= 2 measurements from this distribution by listing all possible values of , and find the probability associated with each.
c. Use the results of part b to calculate and . Confirm that = μ and that .
b. Find the sampling distribution of for random samples of n= 2 measurements from this distribution by listing all possible values of , and find the probability associated with each.