Q. A quiz consists of 10 multiple-choice questions, eachwith 4 possible choices.
ID: 2914345 • Letter: Q
Question
Q. A quiz consists of 10 multiple-choice questions, eachwith 4 possible choices. For someone who makes random guesses forall of the questions, find the probability of passing if theminimum passing grade is 90 %.Q. A man claims to have extrasensory perception (ESP). As atest, a fair coin is flipped 26 times, and the man is asked topredict the outcome in advance. He gets 21 out of 26 correct. Whatis the probability that he would have done at least this well if hehad no ESP?
Q. A quiz consists of 10 multiple-choice questions, eachwith 4 possible choices. For someone who makes random guesses forall of the questions, find the probability of passing if theminimum passing grade is 90 %.
Q. A man claims to have extrasensory perception (ESP). As atest, a fair coin is flipped 26 times, and the man is asked topredict the outcome in advance. He gets 21 out of 26 correct. Whatis the probability that he would have done at least this well if hehad no ESP?
Explanation / Answer
1st QUESTION Let X be the number of correct answer In order to pass, a student must score either 9 or 10 correct X~Binomial(n = 10, p = 0.25) P(X>=9) = P(X = 9) + P(X = 10) P(X>=9) =10C9(0.25)9(0.75)1 +10C10(0.25)10(0.75)0 =0.00002861 + 0.000000953 = 0.00002956 2nd QUESTION Let Y be the number of correct guess Y~Binomial (n = 26, p = 0.5) P(Y>=21) = 0.0012 (same way to do as last question) Hope this helps!
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