Question

Examples of how probabilty density function is applied using a curve in a figure

Answer 1

The graph of a continuous probability distribution is a curve. Probability is represented by area under the curve. We have already met this concept when we developed relative frequencies with histograms ..probabilty density function is applied using a curve in a figure.....

under the curve is given by a different function called the cumulative distribution function ..The cumulative distribution function usedto evaluate probability as area. Mathematically, the cumulative probability density function is the integral of the pdf, and the probability between two values of a continuous random variable will be the integral of the pdf between these two values: the area under the curve between these values.

Note-

area under the pdf for all possible values of the random variable is one, certainty.Probability thus can be seen as the relative percent of certainty between the two values of interest..

In this way probabilty density function is applied using a curve in a figure....

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