Consider the following probability distribution. Complete parts a throughe p(x)

Question

Consider the following probability distribution. Complete parts a throughe p(x) a. Find u 225 (Round to the nearest thousandth as needed.) Find 2 3.188 (Round to the nearest thousandth as neoded,) b. Find the sampling distribution of the sample mean for a random sample of n 2 measurements from tris distrbution. Put the answers in ascending order for k plx) (Do not round) e. Is x an urbiased estimator of ? 16 10 No, x is a biased estimator for Yes, i is an unbiased estimator for v d. Find the sampling dstribution of the sample variance s? for a random sample of n-2 measurements from this distribution Put the answers in ascending order for s 15625 3.0625 5 0625 p/s?) 16 16 Enter your answer in the edit fields and then click Check Answer

Explanation / Answer

a)

from above mean =2.25

vairance =3.188

b)

below is mean and sampling variance distribution of above distribution

from above :distriution of sample mean:

d)

x p(x) xP(x) x2P(X) (x-)2 (x-)2P(x) 0 1/4 0.000 0.000 5.063 1.266 1 1/4 0.250 0.250 1.563 0.391 4 1/2 2.000 8.000 3.063 1.531 total 1 = 2.25 8.250 9.688 2= 3.188

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