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Unformatted text preview: (c) the probability that the coin is the 112 coin give11 heads on both spins. Question 4 [20 points] A student answers a set of 100 truelfalse questions by answering 36 cor rectly, and guessirig the other 64 at random. (a) If the passing score is 70 or more correct answers, what is the approxi mate probability that the student passes the exam'! Give your answer as a decimal correct to two places  (b) Another student also knows 36 correct answers and guesses the rest of the questions at randorn. What is the approximate probability that exactly one of these two students passes the examination? Question 5 [20 points] Determine the number of vectors (xl, 2 2 , . . . , x,) such that each xi is a posi tive integer (i.e. xi > 0) and where r < 72....
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 Summer '07
 Staff
 Probability

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