If the random variable of x is normally distributed,______ percent of all possible observed values of x will be within three standard deviations of the mean.
A)68.26
B)95.44
C)99.73
D)100
E)None of these

Question

Quizplus · Accepted Answer

The rule of thumb for normal distribution is that approximately 99.73% of all observed values will be within three standard deviations of the mean. This is known as the "68-95-99.7 rule," which states that approximately 68% of values will be within one standard deviation of the mean, 95% within two standard deviations, and 99.73% within three standard deviations. Therefore, the best choice is (C) 99.73.

If the Random Variable of X Is Normally Distributed,______ Percent