The cumulative distribution function of a discrete random variable X is ( array |r|c|c|c|c|c|c|c|c| X =x & -4 & -2 & 0 & 2 & 4 & 6 & 8 & 10 ~F ( X =x) & 0.1 & 0.3 & 0.5 & 0.65 & 0.75 & 0.85 & 0.90 & 1 array ) then P(X 0) P(X>0) =

Step-by-step solution

Given the cumulative distribution function F(x) = P(X x) , we have P(X 0) = F(0) = 0.5 . To find P(X > 0) , observe that P(X > 0) = 1 - P(X 0) = 1 - 0.5 = 0.5 . The required ratio is therefore P(X 0) P(X>0) = 0.5 0.5 = 1 . The correct option is B .