A random variable X has a normal population with a mean and a variance of 3.

Question:

A random variable X has a normal population with a mean μ and a variance of 3.

(a) If samples of 10 are taken from the population, sketch the distribution of the variance.

(b) Approximately what proportion of 10,000 samples, each with a sample size of 10, would have sample variances greater than 5.6?

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