Let X be a continous random variable with probability densit

Let X be a continous random variable with probability density function f(x) and cumulative distribution function F(x). Then for any two numbers a and b where a<b, which of the following is true?

A) P (X>b) = F(b) -1

B) P (X>a) = 1 - F(a)

C) P (a <= X <= b) = F(a) - F(b)

D) F(x) = (x-a) / (b-a)

Solution

Answer : B) P (X>a) = 1 - F(a)