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7.38: A populaton consists of the four numbers {0, 2, 4, 6}. Consider drawing a random...

7.38:
A populaton consists of the four numbers {0, 2, 4, 6}. Consider drawing a random sample of size 2 with replacement.

a)List all possible samples and evaluate x (with a line over) for each.

b)Determine the sampling distribution of X (with a line over it).

c) Write down the population distribution and calculate its mean μ and the standard derivation.

d) Calculate the mean and standard deviation of the sampling distribution of x, obtained in part (b), and verify that these agree with μ and standard deviation/2, respectively

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