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1. Mimi plans to make a random guess at 10 True or False questions. Answer the following questions:
a. Assume random number x is the number of correct answers Mimi gets. Assume, x follows a binomial distribution. What is n (number of trials), p (probability of success in each trial) and q (probability of failure in each trial)?
b. How many correct answers can she expect to get? (Hint: What is the expected value of the binomial distribution?) (Show work)
2. Mimi plans to make a random guess at a test containing 10 True or False questions. Answer the following questions:
a. What is the probability that Mimi will pass the test (i.e., get at least 6 correct answers)?
b. To get the answer for part (a), what technology did you use? If an online applet was used, please list the URL. If a calculator or Excel was used, please write out the function.
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