Suppose you are now guessing your way through a lO,question true-false test. Conduct a simulation for approximating the distribution of the number of correct answers.
a. Does the basic probability per selection of a random number change over what it was in part 3a?
b. Does the number of random selections per trial change? If so, what is it now?
c. Conduct at least 50 trials and record the number of correct answers for each. Make a plot of the results.
d. What is the approximate probability of getting six or more questions correct? How does this compare with the answer to part 3d? If you had to guess at the answers on a true-false test, would you want to take a long test or a short one? Explain.
e. What is your expected number of correct answers when guessing on this test?