For normal random variables the probability of being within, Basic Statistics

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For normal random variables the probability of being within

1. Explain in what sense the population variance is sensitive to small changes in a distribution.

2. For normal random variables, the probability of being within one standard deviation of the mean is .68. That is, P(µ - σ ≤ X ≤ µ + σ) = .68 if X has a normal distribution. For nonnormal distributions, is it safe to assume that this probability is again .68? Explain your answer.

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Basic Statistics: For normal random variables the probability of being within

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