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To screen prospective employees, a company gives a 10-question multiple-choice test. Each question has 4 possible...

To screen prospective employees, a company gives a 10-question multiple-choice test. Each question has 4 possible answers, of which 1 is correct. The probability of answering a question correctly by guessing is 0.25. Round each final answer to 4 decimal places (but intermediate values should have more decimal places). Find the probability of answering, by chance:

(a) Exactly 3 questions correctly.

(b) No questions correctly.

(c) At least 8 questions correctly.

(d) No more than 7 questions correctly.

Math   Precalculus   
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