SOLUTION: A multiple choice test consists of eight questions, each of which has four choices. Each question has exactly one correct answer. William guesses randomly at each answer. What i

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Question 1044316: A multiple choice test consists of eight questions, each of which has four choices. Each question has exactly one correct answer.
William guesses randomly at each answer. What is the probability that he gets six or fewer questions correct? (Round your answer to four decimal places.)


Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!
Q:
A multiple choice test consists of eight questions, each of which has four choices. Each question has exactly one correct answer.
William guesses randomly at each answer. What is the probability that he gets six or fewer questions correct? (Round your answer to four decimal places.)
Solution:
Let X = number of correct answers
So X~Binomial(n = 8, p = 0.25)
We want to find .
The Excel formula is =BINOMDIST(6,8,0.25,TRUE) and the result is

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