# In the following problem check that it is appropriate to use

Last updated: 2/1/2024

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities Based on long experience an airline found that about 8 of the people making reservations on a flight from Miami to Denver do not show up for the flight Suppose the airline overbooks this flight by selling 263 ticket reservations for an airplane with only 255 seats USE SALT a What is the probability that a person holding a reservation will show up for the flight 0 92 b Let n 263 represent the number of ticket reservations Let r represent the number of people with reservations who show up for the flight What expression represents the probability that a seat will be available for everyone who shows up holding a reservation P rz 263 P r 255 P r 263 P r 255 c Use the normal approximation to the binomial distribution and part b to answer the following question What is the probability that a seat will be available for every person who shows up holding a reservation Round your answer to four decimal places