A multiple-choice tesst is given with 5 choices , only one of which is correct , for each of 10 questions . What is the probability of scoring
1) exactly 60% just by guessing, 2)exactly 70% of guseeing, 3) more than 70% of guessing
how to find using excel
This will be a binomial distribution with parameters:
n = 10, p = P(Correct) = 1/5 = 0.20
Hence,
1) P(Exactly 60%)
= P(6 correct)
= binom.dist(6, 10, 0.20, False) [Excel Formula]
= 0.0055
2) P(Exactly 70%)
= P(7 correct)
= binom.dist(7, 10, 0.20, False) [Excel Formula]
= 0.000786
3) P(More than 70%)
= 1 - P(Less than or equal to 70%)
= 1 - binom.dist(7, 10, 0.20, True) [Excel Formula]
= 0.000078
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