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Continuous Probability Distributions

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Continuous Probability Distributions

Normal Distribution

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Normal Probability

Characteristics of a Normal Probability Distribution

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It is bell-shaped and has a single peak at the center of the distribution.

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It is symmetrical about the mean

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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.

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Normal Distribution

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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 .

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The arithmetic mean, median, and mode are equal.

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The total area under the curve is 1.00; half the area under the normal curve

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The Normal Distribution - Graphically

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The Family of Normal Distribution

Different Means and Standard Deviations Equal Means and Different

Standard Deviations

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Normal Probability

To be Continued ---

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