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Your instructor administers a 5 question multiple choice test. Each question has 4 possible answers of...

  1. Your instructor administers a 5 question multiple choice test. Each question has 4 possible answers of which 1 answer is correct. Find the probability of getting at least 1 question correct.
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Answer #1

Let X be random varaible of number of answers correct out of 5 questions

X~Bin (n, P)

n=5

as P is probability of each question being correct

P=1/4

X~Bin(n=5,P=1/4)

pmf of X is

Probabity that at least one question correct is

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