Mertens/Brenes Statistics HW #2: Practice Analyzing Simulations EXPIRES Tuesday, 02-14-23 1) The Transportation Security Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check prior to boarding. One such flight had 76 total passengers-12 in first class and 64 in coach class. Some of the passengers were surprised when none of the 10 passengers chosen for addition screening were seated in the first class. The dotplot below shows simulated random selections of 10 passengers in 50 trials. 0 1 2 3 4 5 Number of First Class Passengers a) Explain what the dot at 4 represents. b) Use the results of the simulation to estimate the probability that none of the first-class passengers are selected for an extra security check. c) Should the passengers be surprised that none of the 10 passengers chosen for screening were seated in first class? Explain your answer.