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Continuous Probability Distributions Chapter 7 McGraw-Hill/Irwin Copyright © 2012 by The McGraw-Hill…

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Characteristics of a Normal Probability Distribution 1. It is bell-shaped and has a single peak at the center of the distribution. 2. It is symmetrical about the mean 3. It is asymptotic: The curve gets closer and closer to the X- axis but never actually touches it. To put it another way, the tails of the curve extend indefinitely in both directions. 4. The location of a normal distribution is determined by the mean, , the dispersion or spread of the distribution is determined by the standard deviation,σ. 5. The arithmetic mean, median, and mode are equal 6. The total area under the curve is 1.00; half the area under the normal curve is to the right of this center point, the mean, and the other half to the left of it. LO3 List the characteristics of the normal probability distribution. 7-3

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