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A random variable follows a triangular distribution with a mean of 5 and a standard deviation of 2. We select a simple random sample of

A random variable follows a triangular distribution with a mean of 5 and a standard deviation of 2.

We select a simple random sample of size 100 from the distribution and calculate the sample mean. The sampling distribution of the sample mean is:

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a.approximately normal with mean 5 and standard deviation 0.02.

b.approximately normal with mean 5 and standard deviation 2.

c.triangular with mean 5 and standard deviation 2.

d.triangular with mean 5 and standard deviation 0.2.

e.approximately normal with mean 5 and standard deviation 0.2.

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