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Empirical Rule For Symmetric Distributions

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A random variable Z has a unimodal, symmetric distribution with a mean of 50 and a standard deviation of 10. Which of the following statements provides the most accurate probability estimate?

A

P(Z < 40) = P(Z > 60) = 0.25

B

P(30 ≤ Z ≤ 70) is approximately 0.95

C

P(Z = 50) is the highest probability in the distribution

D

P(Z > 60) must equal exactly 0.16

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