Question: Consider the following probability distribution: a. Find µ and Ï2. b. Find the sampling distribution of the sample mean for a random sample of n

Consider the following probability distribution:
align="center">Consider the following probability distribution: a. Find µ and σ2. b. Find

a. Find µ and σ2.
b. Find the sampling distribution of the sample mean for a random sample of n = 2 measurements from this distribution.
c. Show that is an unbiased estimator of µ. [Show that E() = ˆ‘p() = p.]
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 p(x)1

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