23. 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:

Ï 0 x  0

Ô .06 0  x  1

Ô .19 1  x  2 F(x)
Ì .39 2  x  3

Ô .67 3  x  4

Ô .92 4  x  5

Ô .97 5  x  6

Ó 1 6  x 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)