# Question

An exam consists of 12 multiple-choice questions. Each of the 12 answers is either right or wrong. Suppose the probability a student makes fewer than 3 mistakes on the exam is 0.48 and the probability that a student makes from 3 to 8 (inclusive) mistakes is 0.30. Find the probability that a student makes:
a. More than 8 mistakes
b. 3 or more mistakes
c. At most 8 mistakes
d. Which two of these three events are complementary, and why?

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