cumulative density function
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Recall that previously this probability was defined in terms of a PDF: P(a≤X≤b)=∫abfX(x) dx.P(a\leq X \leq b) = \int_a^b f_X (x) \,dx.P(a≤X≤b)=∫ab​fX​(x)dx. Log in here. Still, one frequently wants to make use of the probability density function fX(x)f_X (x)fX​(x) rather than the CDF. Suppose the p.d.f. Find the probability that x<100x < 100x<100. $$f(x)$$: we see that the cumulative distribution function $$F(x)$$ must be defined over four intervals — for $$x\le -1$$, when \(-1