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Question 5. [-/3.54 Points] DETAILS BBUNDERSTAT12 5.2.016.MI.S. Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has five answers,

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5. [-/3.54 Points] DETAILS BBUNDERSTAT12 5.2.016.MI.S. Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has five answers, of which only one is co questions, find the indicated probabilities. (Round your answers to three decimal places.) LO USE SALT (a) What is the probability that he will answer all questions correctly? (b) What is the probability that he will answer all questions incorrectly? (c) What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First, use the Then use the fact that P(r 2 1) = 1 - P(r = 0). Compare the two results. Should they be equal? Are they equal? If not, how do you account for the difference? They should be equal, but differ substantially. They should be equal, but may not be due to table error. O They should be equal, but may differ slightly due to rounding error. O They should not be equal, but are equal. (d) What is the probability that Richard will answer at least half the questions correctly

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