Suppose that three executives bump into each other in an elevator and drop their identical cellular phones as the doors are closing, leaving them with no alternative but to pick up a phone at random. a. Describe in detail how you could conduct a simulation of this situation to produce empirical estimates of the probabilities involved. Write the names of the executives on 6 index cards of the same size, shuffle them, then draw from a hat. Write down the name, then replace the card back in the hat and draw again until you've drawn 6 times. Write the names of the executives on 6 index cards of the same size, shuffle them then deal them out onto a piece of paper with boxes labeled with the names of executives. Use a random digit table to randomly assign the executives to phones Write the names of the executives on 3 index cards of the same size, shuffle them then deal them out onto a piece of paper with boxes labeled with the names of executives. Write the names of the executives on 3 index cards of the same size, shuffle them, then draw from a hat. Write down the name, then replace the card back in the hat and draw again until you've drawn 3 times. 8:45 PM 24 3/10/2022Question 2 (1 point) b. List all the possible outcomes in the sample space for this situation. For example, let 123 mean that the first cell phone went to the first executive, the second cell phone to the second executive, and the third cell phone to the third executive. In this case all three executives got their correct phone back. 123, 132, 223, 232, 323, 332 123, 132, 213, 231, 312, 321 123, 122, 211, 231, 322, 311 123, 133, 213, 233, 312, 322 Question 3 (1 point) c. Use the sample space to determine the exact probability that . Nobody gets the correct phone. A/ 8:46 PM 24 3/10/2022QuesLIUil 4 ( 1 PUITIL) . Exactly one person gets the correct phone. A/ Question 5 point) . Exactly two people get the correct phone. A/ Question 6 (1 point) . All three people get the correct phone. A/ Question 7 (1 point) . At least one person gets the correct phone 8:46 PM 24 3/10/2022 Od. If this situation were to befall a group of five people, you could calculate the probability that nobody gets the correct phone as 11/30. Explain in your own words what this probability means about the likelihood of nobody getting the correct phone. Out of every 30 times you do the experiment, in 11 of them no one will get the correct cell phone In the long run, 36.67% of the subjects will get the correct cell phone back If you repeated this experiment indefinitely, in the long-run you would expect to observe none of the five people getting the correct phone in about 36.67% of the trials. If you repeat this experiment a few times, in exactly 36.67% of the trials none of them will get the correct phone 8:47 PM 24 3/10/2022 DELL