Topical Terminology > P(A<= X <=b) = (Area Under F Between A And B);
P(a<= X <=b) = (area under f between a and b);
For P(a<= X <=b) = (area under f between a and b); we have a term and definition in Statistics.
P(A<= X <=b) = (Area Under F Between A And B); (Statistics) 
The chance that a continuous random variable is in any range of values can be calculated as the area under a curve over that range of values. The curve is the probability density function of the random variable. That is, if X is a continuous random variable, there is a function f(x) such that for every pair of numbers a<=b,
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