A city has n taxis numbered 1 through n. A statistician takes taxis numbered 31, 50, and 112 on three random occasions. Based on this information, determine, using simulation, which of the numbers 112...

A city has n taxis numbered 1 through n. A statistician takes taxis numbered 31, 50, and 112 on three random occasions. Based on this information, determine, using simulation, which of the numbers 112 through 120 is a better estimate for n. Hint: For each n (112 ≤ n ≤ 120), repeat the following experiment a large number of times: Choose three random numbers from {1, 2, . . . , n} and check to see if they are 31, 50, and 112.