Let $x$ Represent the Number Which Shows Up When a Balanced Die

Let $x$ represent the number which shows up when a balanced die is rolled. Then $x$ is a random variable with a uniform distribution. Let $\bar { x }$ denote the mean of the numbers obtained when the die is rolled 3 times. Which of the following statements concerning the sampling distribution of the mean, $\bar { x }$ , is true?

A) $\bar { x }$ is approximately normally distributed.
B) $\bar { x }$ is normally distributed.
C) $\bar { x }$ has a uniform distribution.
D) None of the above statements is true.

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