For any normally distributed random variable with mean μ and standard deviation σ,the proportion of the observations that fall outside the interval [μ - σ,μ + σ] is closest to _____.
A)0.0466
B)0.3174
C)0.8413
D)0.1687

Question

Quizplus · Accepted Answer

The interval [μ - σ, μ + σ] contains approximately 68% of the observations for a normally distributed random variable. Therefore, the proportion of observations outside of this interval is approximately 1 - 0.68 = 0.32, which is closest to choice B (0.3174).

For Any Normally Distributed Random Variable with Mean μ and Standard