Question 6.159

61. Random Guessing on a Quiz. Refer to Exercise 57.

  1. Compute the mean, variance, and standard deviation of . Interpret the mean.
  2. Use the -score method to determine which numbers of correct responses should be considered outliers.
  3. Use technology or the binomial table to construct a probability distribution graph of . Then state the mode of , that is, the most likely number of correct responses.
  4. Find the probability that .

6.2.61

(a) correct answers. If we repeat this experiment an infinite number of times, record the number of correct answers for each quiz taken, and take the mean of all of the quizzes, the mean number of correct answers will equal . correct answer squared, correct answer. (b) Five correct answers is considered an outlier; 4 correct answers is considered moderately unusual. (c) Mode is 1 correct answer.

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(d) 0.3955