# Question: An exam consists of 12 multiple choice questions Each of the

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?

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?

## Answer to relevant Questions

A driving exam consists of 30 multiple-choice questions. Each of the answers is either right or wrong. Suppose that the probability of making fewer than 7 mistakes is 0.23 and the probability of making from 7 to 15 mistakes ...When two dice are rolled, is the event “the first die shows a 1 on top” independent of the event “the second die shows a 1 on top”? According to a study published in Scientific American, about 8 women in 100,000 have cervical cancer (which we’ll call event C), so P(C) = 0.00008. Suppose the chance that a Pap smear will detect cervical cancer when it is ...Betty and Jane are gambling. They are cutting cards (picking a random place in the deck to see a card). Whichever one has the higher card wins the bet. If the cards have the same value (for example, they are both eights), ...According to a Gallup poll conducted in 2013, 67% of men support the death penalty in cases of murder, and 59% of women support the death penalty in cases of murder. Suppose these are accurate percentages. Now suppose a ...Post your question