Consider the following experiment which may be simulated. A 4-sided die, with sides numbered 1,2,3,4, is rolled until al

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Consider The Following Experiment Which May Be Simulated A 4 Sided Die With Sides Numbered 1 2 3 4 Is Rolled Until Al 1 (205.9 KiB) Viewed 31 times

Consider the following experiment which may be simulated. A 4-sided die, with sides numbered 1,2,3,4, is rolled until all four numbers are rolled. Count the number of rolls needed. This experiment is to be repeated for a total of 50 times. You may use any of the simulation ideas discussed in class, or let me know if you have another way to simulate this. Caution: Creating data without doing the experiments or altering the data of the experiments is fabrication, and is a violation of the academic integrity policy. In fact, for this assignment, it is easy to determine if data has been fabricated. This assignment is to be done independently. You may not work with each other answering the questions. Answer the questions below neatly on separate paper. 1. Complete the 50 experiments, showing the tallies of each number rolled for each experiment, and the total rolls needed. Note: This will be the only time you will need the number of 1's, 2's, 3's, and 4's. The next question refers to the number of rolls needed to complete the experiments. 2. Complete a frequency table, where the rolls needed are on the left and the frequency of each ua on the right. List the counts separately, i.e., each class should consist of only one number. 3. List all the possible (theoretical) values for this experiment. This does not necessarily include only the values that you attained with the 50 experiments you conducted. As we saw in class, 4 is a possible value, and in fact, the minimal value. 4. This experiment is an example of a random variable, where X is the number of rolls needed for each experiment. Find the actual probability P(X=4). Not the "empirical" probability from the frequency table you created.