Example 3: Suppose your final exam in a statistics course is composed of 2 portions, one of which consists entirely of multiple choice questions. There are 8 questions in total and each question has 4 possible answers with only 1 correct answer out of the 4. Suppose that you were to randomly guess on all 8 questions. Consider this scenario as you answer the following questions. a) How many questions would you expect to get correct? b) What is the probability that you get exactly 2 questions correct? c) What is the probability that you get at least 3 questions correct?

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Example 3: Suppose your final exam in a statistics course is composed of 2 portions, one of which
consists entirely of multiple choice questions. There are 8 questions in total and each question
has 4 possible answers with only 1 correct answer out of the 4. Suppose that you were to
randomly guess on all 8 questions. Consider this scenario as you answer the following questions.
a) How many questions would you expect to get correct?
b) What is the probability that you get exactly 2 questions correct?
c) What is the probability that you get at least 3 questions correct?
Transcribed Image Text:Example 3: Suppose your final exam in a statistics course is composed of 2 portions, one of which consists entirely of multiple choice questions. There are 8 questions in total and each question has 4 possible answers with only 1 correct answer out of the 4. Suppose that you were to randomly guess on all 8 questions. Consider this scenario as you answer the following questions. a) How many questions would you expect to get correct? b) What is the probability that you get exactly 2 questions correct? c) What is the probability that you get at least 3 questions correct?
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