What is the Cumulative Distribution Function for a Continuous Random Variable?

[Dr ps]

The cumulative distribution function of a continuous random variable is given
as follows:
0 0
( ) 0 5
5
1 5
X
if x
x
F x if x
x
 

   

 
a. Determine and name the density function of . [02]
b. Use both and ( ) X F x to find P(X  3) . [05]
c. Find the variance of . [03]
d. Use the method to find the probability density function of .[06]
e. Find the variance of .

 

[mfb]

The layout of the question looks completely broken.