Binomial Distribution Activity

The Binomial Distribution| AP Statistics | SHUBLEKA    

Everyone’s Worst Nightmare One particularly stressful night, you dream that you now in college and that the professor has announced a pop quiz. The quiz topic is ancient Ugaritic language and literature during the thirteenth century B.C. To make matters worse, the quiz is written in Farsi. Of course, you are totally unprepared. In your dream, you are the only student in the class because everyone else was exempt from taking the quiz. The professor notices that you are sweating profusely, and he correctly surmises that you are not prepared. He says, “Since you must guess at all the answers, I won’t even bother providing you with the questions. It saves paper!” 1. Number your paper from 1 to 10 as shown. There are five choices for each question: A, B, C, D, or E. Select an answer to each question. Answer Question 1 2 3 4 5 6 7 8 9 10 2. Your teacher will display the correct answers on the overhead when everyone has finished. Score your own paper. 3. What kind of results should you expect to see for the entire population of unprepared students in your class? Display a graph of this expected distribution of results. Label it clearly. Would the distribution be different if there were only four choices? Explain. 4. Design a simulation to determine the distribution of the number of correct guesses if you have five choices. Use your calculator. What will the digits represent? Describe how you will run the simulation. Perform 30 trials of your simulation. Record the number of correct guesses for each trial by creating a frequency distribution table.