A-multiple-choice-quiz-has-200-questions-each-with-4-possible-answers-of-which-only-1-is-the-correct-answer-What-is-the-probability-that-sheer-guesswork-yields-from-25-to-30-correct-answer-for-8

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Question Number 133021 by liberty last updated on 18/Feb/21

$$\mathrm{A}\mathrm{multiple}-\mathrm{choice}\mathrm{quiz}\mathrm{has}200$$$$\mathrm{questions}\mathrm{each}\mathrm{with}4\mathrm{possible}$$$$\mathrm{answers}\mathrm{of}\mathrm{which}\mathrm{only}1\mathrm{is}\mathrm{the}\mathrm{correct}$$$$\mathrm{answer}.\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{probability}$$$$\mathrm{that}\mathrm{sheer}\mathrm{guesswork}\mathrm{yields}$$$$\mathrm{from}25\mathrm{to}30\mathrm{correct}\mathrm{answer}\mathrm{for}$$$$80\mathrm{of}\mathrm{the}200\mathrm{problems}\mathrm{about}\mathrm{which}$$$$\mathrm{the}\mathrm{student}\mathrm{has}\mathrm{no}\mathrm{knowledge}?$$

Answered by bemath last updated on 19/Feb/21

$$\mathrm{P}(25⩽\mathrm{X}⩽30)=\underset{\mathrm{x}=25}{\sum ^{30}}\mathrm{b}(\mathrm{x},80,\frac{1}{4})$$

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