# Homework Help: Probability Question. Find the probability that F_{X}(x) will be less than 1, etc

1. May 7, 2012

### mah062

1) (1 pt) You are investigating a random phenomenon and have determined that the cumulative distribution function F_{X}(x):=P(X<x) of the random variable X has values F_{X}(1)=.5, F_{X}(2)=.74, F_{X}(3)=.92

A) Less than 1 _____

B) Larger than 2 _____

C) Between 1 and 3 _____

2) Equations: None that I know of that pertain to this particular problem.

3) Part A:
0.5+0.74+0.92=2.16

So... 0.5/2.16=0.23148 Or 23.148%

I tried this for each part. I'm looking through my notes but they only have probability questions with equations.

2. May 7, 2012

### Curious3141

You're given the cumulative distribution function (CDF). That gives the probability that X will be LESS than a given value x.

So what does $F_X(1)$ signify? The answer to part a) is immediate.

Can you now figure out the other two parts?

3. May 11, 2012

### mah062

Solved. Thank you!