A random variable X has a cumulative distribution function F
A random variable X has a cumulative distribution function F(x)=1-(1/(x+1)^2) for x (> or = to) 0. Find Pr(1(<or=to)x(< or = to)4). Write as a reduced fraction. 
Solution
p(1 <= x <= 4) =
F(4) - F(1) =
1 - 1/52 - (1 - 1/22) =
1/4 - 1/25 =
21/100 =
0.21

