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Question: A test has 8 true/false questions. At least 5 questions must be answered correctly to pass the test. If a student guesses on each question, what is the probability that the student will pass the test? Round answer to three decimal places.

Solution P = 1 = 0.5 , 2 = 1/ = 05 n = 8 Binomial probability distribution P ( ac ) = n (x p x qn - x = 8 ( 0.5) ( 0.5) 8-20 = 8 ( 0.5 ) X Probability that the student will pass the test . = PC a student must answer at least 5 quartions Correctly ) = P(5) + P(6) + P (7) + p(8) = 8 ( 0.5 ) + " ( o.5) + 8 ( 05 ) + 8 Cos ) S 6 8 = 0. 21875 + 0. 10 938 + 0. 0313 + 0.00391 = 0 . 363 34 . = 0. 363 (to 3 d. p)