A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exactly two correct answers?
(= 25 x 0.2) correct answers if all questions
are answered by guessing. This is the mean (or expected value) of the
binomial random variable when n = 25 and p = 0.2. The
standard deviation is 1.732 = sqrt(3) = sqrt(25 x 0.2 x 0.75).
Approximately two-thirds of the students who guess on the exam will fall
within one standard deviation of the mean, i.e., will get 3, 4, or 5