An exam consists of 13 multiple-choice questions. Each of the 13 answers is either right or wrong. Suppose the probability that a student makes fewer than 5 mistakes on the exam is 0.43 and that the probability that a student makes from 5 to 7 (inclusive) mistakes is 0.23. Find the probability of each of the following outcomes.

a. A student makes more than 7 mistakes

b. A student makes 5 or more mistakes

c. A student makes at most 7 mistakes

d. Which two of these three events arecomplementary?

a. The probability that a student makes more than 7 mistakes is

nothing

.