Question

Which of the following is not a characteristic of the normal probability distribution? Select one: a. Symmetry b. The total area under the curve is always equal to 1. c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean d. The mean is equal to the median, which is also equal to the mode

Answer 1

Answer:

c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean

Step-by-step explanation:

In a normal distribution, the shape is bell-shaped; this means it is symmetric.

The area under a normal distribution will always be equal to 1.

The mean, median and mode in a normal distribution are equal.

However, the data assumes values within 1 standard deviation above or below the mean 68% of the time, not 99.72% of the time.  This is the characteristic that doesn't fit.