Consider the following probability distribution a Find ( and (2 b Find the sampling distribution of the sample mean x for a random sample of n 2 measurements from this distribution c Show that x is and unbiased estimator of ( 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 (2 p(x) 1 3 1 3

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

Consider the following probability distribution:

a. Find ( and (2.
b. Find the sampling distribution of the sample mean x for a random sample of n = 2 measurements from this distribution.
c. Show that xÌ… is and unbiased estimator of (.
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 (2?

p(x) 1/3 1/3

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