SOLUTION: For a multiple choice test with 30 questions, each with 5 possible answers, one of which is correct, for student who guess at all answer, find the mean, variance and standard devia

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Question 465865: For a multiple choice test with 30 questions, each with 5 possible answers, one of which is correct, for student who guess at all answer, find the mean, variance and standard deviation for the number of correct answers.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The experiment follows a binomial distribution with
the r.v. X = # of correct answers.
n = 30, p = 1/5, q = 4/5
mean mu+=+np+=+30%2A%281%2F5%29+=+6
variance sigma%5E2+=+npq+=+30%2A%281%2F5%29%2A%284%2F5%29+=+4.8, and
standard deviation sigma+=+sqrt%284.8%29+=+2.19, to 2 decimal places.