[Solution] Assume that a procedure yields a binominal distribution with n trials and the probability of success for one trial is p . Use the given values


Question: Assume that a procedure yields a binominal distribution with n trials and the probability of success for one trial is p . Use the given values of n and p to find the mean u (with a long line going down at the beginning of the u ) and standard deviation (upside down Q). Also, use the range rule of thumb to find the minimum usual value \(\mu -2\sigma \) and the maximum usual value \(\mu +2\sigma \)

Guessing Answers : The final exam in a sociology course consists of 100 multiple-choice questions. Each question has 5 possible answers, and only 1 of them is correct. An unprepared student makes random guesses for all the answers.

  1. Find the mean and standard deviation for the number of correct answers for such students.
  2. Would it be unusual for a student to pass this exam by guessing and getting at least 60 correct answers? Why or why not?

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