Question

The cumulative distributino function of a random variable x is the probability that X takes the value

• A. less than or equal to x
• B. equal to x
• C. greater than x
• D. zero

Answer 1

The correct option is A less than or equal to x

If f(x) is p.d.f and F(x) is c.d.f then C.d.f. is defined as

$F\left(x\right)=P[x\le X]={\int }_{-\infty }^{X}f\left(x\right)dx$

F(x) = sum of all values less than equal to x.