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9. Suppose that you are given a 30 question true-false quiz. Being unprepared you decide to guess at each question. (a) Find the probability that you will get (i) exactly 15 correcti) under 15 correc) 15 or more correct (iv) enough to pass (b) Find: (i) the mean (expected) number of correct answers, (ii) the variance and standard deviation.
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In given question the data follows binomial distribution I use here binomial distribution because n and p(success) given if any query comment me here 3o queshons Mean 30 True flse le 0-1S 0.1445 iii )PUndex isCorre (ii)r(150Y More Correct -P(x2IS)-1-P(xs) -0437-05123 3 5. standard dleviatfon

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