# The number of books sold over the course of the four-day book fair were 174, 171, 259, and 67. Assume that samples of size 2 are randomly selected with replacement from this population of four values. Identify the probability of each sample, and describe the sampling distribution of the sample means.

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Asked Dec 3, 2019
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The number of books sold over the course of the four-day book fair were 174, 171, 259, and 67. Assume that samples of size 2 are randomly selected with replacement from this population of four values. Identify the probability of each sample, and describe the sampling distribution of the sample means.

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## Expert Answer

Step 1

Total number of possible samples =4*4 =16 (As 4 choices for each value).

As all sample occur with equal probability, probability of each sample =1/16 (0.0625).

Below is sampling distribution of mean.

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