Question

# 10. A multiple-choice test has 30 questions and each one has five possible answers, of which one...

10. A multiple-choice test has 30 questions and each one has five possible answers, of which one is correct. If all answers were guesses, find the probability ofgetting exactly four correct answers. (Points : 3)
.0604
.1325
.2552
.8000

n=30

We are having 5 choices. This means that p=1/5.

Using Binomial Distribution

P[X=4]=30C4 *(0.2)^4*(1-0.2)^(30-4)=0.132522

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