If a student randomly guesses at 20 questions, find the
probability that the student gets exactly four correct. Each
question has four possible choices.
X ~ Binomial (n,p)
Where n = 20 , p = 1/4 = 0.25 (Probability of one correct out of four choices)
Binomial probability distribution is
P(X) = nCx px ( 1 - p)n-x
P( X = 4) = 20C4 0.254 0.7516
= 0.1897
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QUESTION 14
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