APFIVE Empirical Rule For Symmetric Distributions
A random variable Z has a probability distribution with the following characteristics: unimodal, symmetric, mean = 50, and standard deviation = 10. If we randomly sample one value from this distribution, which statement provides the most accurate probability assessment?
A
P(Z = 50) is the highest probability in the distribution
B
P(Z < 40) = P(Z > 60) = 0.25
C
P(30 ≤ Z ≤ 70) is approximately 0.95
D
P(Z > 60) must equal exactly 0.16
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