Question

If the distribution function of a random variable is given by

F(x)= 1-1/x^2 for x>1
0 for x< 1

find the probabilities that this random variable will take on a value

(a) less than 3

Answer 1

My question is, would my limits for F(x) be
between "1<x<infinity" (inifnity because it
could be any real number greater than 1.)?
Second,after I minus the values when I plug in the limits
from each other. Where do I go from there?

Answer 2

First: "after I minus the values " Never say that again. It's called subtraction.

This is F(x), not f(x). Often, we are given f(x) and finding F(x) is the problem. In this case, we have F(x) and we are nearly done. p(x<3) = F(3) -- Done.

Answer 3

@tkhunny

Sorry bout that. Thanks for the help.