![]() ![]() To point out that part of the visual effect of the curve depends upon The "can be made to look somewhat like" is added We will learn, later, how to change values from a non-standard normal distribution We refer to the values along the traditional x-axis as z values The normal distribution is often called a bell-shaped curveįor the obvious reason that the graph of the function can beĪ careful "read" of the graph in Figure 1 reveals that we are calling values along the traditional That is, the curve isĪlways above the x-axis even for values more extreme than -4 or 4. We must note here that the curve never gets to the x-axis. It takes 40 such areas to equal 1 square unit. Each small rectangle in Figure 1 representsĠ.5*0.05 or 0.025 square units. Remember that as a probability density function, the area under the curveĪnd above the axis is equal to 1 square unit. With those values the general formula becomesĪ graph of that function appears in Figure 1. With such a definition we get a different valueįor each different combination of μ and σ.įortunately, we can look at a single example, called the standard normal distribution, Where we are given values for the mean, μ, The normal distribution is defined by a mathematical formula, Listing of all R commands used on this page.The Expanded Notation for pnorm() and qnorm().Normalizing a non-standard normal distribution.Probability: Normal Distribution Probability: Normal Distribution ![]()
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