With reference to the following function:

f(x)= x for 0

Question

With reference to the following function:

f(x)= x               for 0<x<1
       2-x            for 1<=x<2
        0              elsewhere


find the corresponding distribution function,
and use it to determine the probabilities that a random variable 
having the distribution function will take on a value 

(a) greater than 1.8 

(b) between .4 and 1.6

anonymous · Answer

I'm confused about the answers my book is getting, it only
gets .02 for (a) and .84 for (b). I thought
I'm suppose to get two answers for both parts since I have to 
get the definite integrals of f(x) = x and f(x)=2-x from
1.8 and infinity (greater than 1.8) for (a)  and 
from .4 and 1.6 for (b). I thought there were suppose to be 
two answers