J a where f (x) dx is known as the probability element (the probability associated with a small interval of a continuous variable) and where P(a < x < b) means the probability that X lies in the interval a to b. Geometrically, we have Figure A.2.
For a continuous rv, in contrast with a discrete rv, the probability that X takes a specific value is zero3; probability for such a variable is measurable only over a given range or interval, such as (a, b) shown in Figure A.2.
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