Question

Q#12: Measurements of scientific systems are always subject to variation, some more than others.
There are many structures for measurement error, and statisticians spend a great deal of time
modeling these errors. Suppose the measurement error X of a certain physical quantity is decided
by the density function
 
 
2
3 1 1
0 elsewhere
k x x
f x
    
 

(a): Determine k that renders f(x) a valid density function. (05)
(b): Find the probability
1 1
.
3 3
P X         

Answer 1

b)

thank you.