12. The cdf for X (
measurement error) of Exercise 3 is 0 x  2 F(x)


1 2

 3 3

2

 

4x  

x 3

3

 2  x  2 1 2  x

a. Compute P(X  0).

b. Compute P(1  X  1).

c. Compute P(.5  X).

d. Verify that f(x) is as given in Exercise 3 by obtaining F (x).

e. Verify that
0.