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Statistical Application Development with R and Python - Second Edition by Prabhanjan Narayanachar Tattar

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Continuous distributions

The numeric variables in the survey, Age, Mileage, and Odometer, can take any values over a continuous interval and these are examples of continuous RVs. In the previous section, we dealt with RVs that had discrete output. In this section, we will deal with RVs that have continuous output. A distinction from the previous section needs to be pointed out explicitly.

In the case of a discrete RV, there is a positive number for the probability of an RV taking on a certain value that is determined by the pmf. In the continuous case, an RV necessarily assumes any specific value with zero probability. These technical issues cannot be discussed in this book. In the discrete case, the probabilities of certain values are specified ...

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