Multiple choice A multiple choice test has 50 questions, with 4 answer choices each. You must get at least 30 cor-rect to pass the test, and the questions are very difficult. a) Are you likely to be able to pass by guessing on everyquestion? Explain.b) Suppose, after studying for a while, you believe youhave raised your chances of getting each questionright to 70%. How likely are you to pass now?c) Assuming you are operating at the 70% level and theinstructor arranges questions randomly, what’s theprobability that the third question is the first one youget right?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Multiple choice A multiple choice test has 50 questions,
with 4 answer choices each. You must get at least 30 cor-
rect to pass the test, and the questions are very difficult.
a) Are you likely to be able to pass by guessing on every
question? Explain.
b) Suppose, after studying for a while, you believe you
have raised your chances of getting each question
right to 70%. How likely are you to pass now?
c) Assuming you are operating at the 70% level and the
instructor arranges questions randomly, what’s the
probability that the third question is the first one you
get right?
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