22. A consumer organization that evaluates new automobiles customarily reports the number of major defects in each car examined. Let X denote the number of major defects in a randomly selected car of a certain type. The cdf of X is as follows:

Calculate the following probabilities directly from the cdf:

a. p(2), that is, P(X  2)

b. P(X 3)

c. P(2 X

5)

d. P(2  X  5)