Cumulative Distribution Given the distribution Fx3001 x 2992

Cumulative Distribution

Given the distribution: F(x>300)=1

x<300 => .2992563743

x=300=> .2992563743

x>300 => 1

How would you find out if x is less than 350 ? Or atleast 200 ?

Solution

We have cumulative distributions, i.e P (X > x) or in words, it can be explained as the probabilityh of X being less than or equal to that value.

We know that,

F ( X > 300) = 1

Thus, 300 is the upper bound. So, for F ( X < 350), the cumulative value will be 1. This is because, for any value above 300, the cumulative probability is 1. So, conversely speaking, if total probability is 1, then x is below 350.

Applying similar logic,

if the cumulative probability is at least 0.299256743 or more, the number is definitely bigger than 200.

Hope this helps. Ask if you have doubts.