Statistics 5.2

Statistics 5.2 - 5-2 The Standard Normal Distribution...

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5-2 The Standard Normal Distribution Objectives : Students will be able to: Calculate probabilities under the standard normal curve. The ideas in this section serve as important groundwork for the remaining content in this course. Recall that a discrete probability distribution has the following properties: 1. () 1 Px = 2. 01 x ≤≤ The Normal Distributions are continuous distributions under the curve 2 1 2 () 2 x e y μ σ π = . Definition Requirements for a Continuous Distribution A density curve (or probability density function (PDF) is a graph of a continuous probability distribution that has the following properties: 1. The total area under the curve must equal 1; and 2. Each point on the curve must have a height of 0 or greater. The Standard Normal Distribution is a normal probability distribution that has a mean of 0 and a standard deviation of 1, and the area underneath the curve is 1. Because the total area under the density curve is equal to 1, there is a correspondence between area and
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Statistics 5.2 - 5-2 The Standard Normal Distribution...

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