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(Solved): Consider a random sample of size n=2 (sampling without replacement) from a population of four chip ...
Consider a random sample of size (sampling without replacement) from a population of four chips numbered 1 through 4. (Note this random sample is not i.i.d.) a) Find the joint distribution of the smaller and larger of the two sample observation. b) Find the distribution of the sample range. c) Find the distribution of the sample mean.
Expert Answer
Find the sample space Since we are sampling without replacementthere are a total of ${4 \choose 2} = 6$ possible outcomes for the sample. They are:{(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}