Question

21. If F(x) is the cumulative distributive function of a
random variable X, whose range is from a to b,
a < b then P(X > b) =

(A) o
(B)1/
2
(C) /13
(D) 1​

Answer 1

Correct option is A =0

We have for a random variable X,

F(x)=P(X≤x)=0 for x<0 (since the random variable cannot assume negative values, so its probability is 0)

So, P(X<−α)=0