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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 :

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.

The statement which is not a characteristic of the normal distribution is:

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

  • The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.
  • The area under the normal curve is always equal to 1.
  • The mean, the mode and median are equal.
  • The Empirical Rule states that 68% of the measures are within 1 standard deviation of the mean, 95% within 2 and 99.7% within 3, thus, statement c is false.

For more on the normal distribution, you can check https://brainly.com/question/13011828

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