14 Consider the following probability distribution

a. Find m and s2 .

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 an unbiased estimator of m. [ Hint: Show that E(x) = xp(x) = m. ]

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 s2 .

Transcribed Image Text:

x 0 1 4 p(x) 1/3 1/3 E/1