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The distribution function of a random variable is given by

F(x)= {0 , for x<-1

{(x+1)/2 , for -1<x<1

{1 , for x≥1.

Find P(3<x<4).

2
is such a probability distribution possible ? probability seems to be not bounded. is it a text book question? if P(3<x<4) = 1, that means x is only between 3 & 4. actually integral F(x) dx from - infinity to + infinity will be 1.

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