SOLUTION: A quiz consists of 60 multiple choice​ questions, each with five possible​ answers, only one of which is correct. If a student guesses on each​ question, what is
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Question 1114478: A quiz consists of 60 multiple choice questions, each with five possible answers, only one of which is correct. If a student guesses on each question, what is the mean and standard deviation of the number of correct answers? Round to the nearest thousandth.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We use a binomial probability distribution
:
probability of guessing a correct answer is 1/5(0.20) and there are 60 questions
:
mean = 60 * (0.20) = 12
:
standard deviation = square root(60*(0.20)*(1-0.20)) = 3.0984 approximately 3.098
:
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