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25 September, 09:12

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

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  1. 25 September, 10:22
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    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.
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