14. Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is

a. Graph the pdf. Then obtain the cdf of X and graph it.

b. What is P(X

.5) [i.e., F(.5)]?

c. Using part (a), what is P(.25  X

.5)? What is P(.25 X

.5)?

d. What is the 75th percentile of the distribution?