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 2 mistakes on the exam is 0.29 and that the probability that a student makes from 2 to 7 (inclusive) mistakes is 0.17. Find the probability of each of the following outcomes.

a. A student makes more than 7 mistakes

b. A student makes 2 or more mistakes

c. A student makes at most 7 mistakes

d. A student makes fewer than 2 mistakes or more than 7 mistakes

e. A student makes fewer than 2 mistakes given that they made at most 7 mistakes