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Take a Random Sample of Size N = 2, Without Xˉ\bar{X}

Question 16

Essay

Take a random sample of size n = 2, without replacement, from
{1, 3, 5}. Let Xˉ\bar{X} = sample range.
(a) List all possible samples and the associated value of the sample range.
(b) Construct the sampling distribution of the sample range.
(c) Obtain the expected value of the sample range using the sampling distribution in Part b.

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