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The following are the three main characteristics of a normal distribution. (Fill in the blanks). [See Section 6.1 in the text].
1. The following are the three main characteristics of a normal distribution. (Fill in the blanks). [See Section 6.1 in the text].
a. The total area under a normal curve equals _____________.
b. A normal curve is _______________ about the mean. In other words, 50% of the total area under a normal distribution curve lies on the left side of the mean, and 50% lies on the right side of the mean.
c. The tails of a normal distribution curve extend indefinitely in both directions without touching or crossing the horizontal axis. Although a normal curve never meets the _____________ axis, beyond the points represented by µ - 3σ to µ+ 3σ it becomes so close to this axis that the area under the curve beyond these points in both directions is very close to zero.