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

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.

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 [itex]F_X(1)[/itex] signify? The answer to part a) is immediate.

Can you now figure out the other two parts?

mah062

Solved. Thank you!