Explain probability density functions and explain how probability density differs from the usual notion of density.
What will be an ideal response?
Ans: When we use the term density, we mean the number of things per unit measure. For example, the number of people per square mile, the number of neurons per cubic millimeter, or the number of scores per one inch interval. In statistics, the term density is used somewhat differently. Density is an abstract quantity defined at a point; that is, for each of the possibly infinite number of values of the variable. The area under a probability density function is 1. The proportion of a probability density function between any two values of x can be determined.
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