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1.Suppose the random variable X has a mean of 30 and standard deviation of 6. Samples of 20 observations are drawn randomly from the population.

1.Suppose the random variableXhas a mean of 30 and standard deviation of 6. Samples of 20 observations are drawn randomly from the population.

a.Calculate the mean and standard deviation for the random variable.

b.Calculate the probability that the sample mean is between 26 and 33.

c.Describe the central limit theorem in words.

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