MATH 1342 Name _ Elementary Statistical Methods Lab 9 - Ch.6 - Binomial Probability Critical Thinking: Empirical/Quantitative Skills United flight 15 from New York's JFK to San Francisco uses a Boeing 757-200 with 180 seats. Because some people with tickets don't show up, United will overbook by selling more than 180 tickets. If the flight is not overbooked, the airline will lose revenue due to empty seats, but if too many tickets are sold and some passengers are denied seats, the airline loses money from the compensation that must be given to bumped passengers. Assume that there is a 0.905 probability that a passenger with a ticket will show up for the flight. Also assume that the airline sells 200 tickets for the 180 seats that are available. 1. When 200 tickets are sold, calculate the probability that exactly 180 passengers show up for the flight. Show your calculation (i. e. what you put in the calculator) and round to 4 decimals. 150 = 20 c lou . ( 0. 9 0u, - ) /du 0.0836 ( 0 . 09 9 ) - ) 20 2. When 200 tickets are sold, calculate the probability that at most 180 passengers show up for the flight. Show your calculation (i.e. what you put in the calculator) and round to 4 decimals. - 1- 0099- 6.90 05 3. When 200 tickets are sold, calculate the probability that more than 180 passengers show up for the flight. Show your calculation (i.e. what you put in the calculator) and round to 4 decimals. 4. Use trial and error to find the maximum number of tickets that could be sold so that the probability of "more passengers than seats" (i.e. more than 180 passengers) is UNUSUAL. Fill in the table below. (round all probabilities to 4 decimals) Use this formula: 1 - binomialcdf (n, 0.905, 180) Number of tickets P (more passengers than seats) 199 198 ( 3 08 9 197 ( 234 6 196 ( . 1 7 6 2 195 194 The maximum number of 193 0. 0469 tickets that should be 192 sold is 190 191 0 . 6 1 92