Question

An airplane has 175 seats. Because some ticketed passengers do not show up, the airline sells 180 seats. The probability that a passenger will not show up is 5 % . Find the probability that exactly 178 passengers will show up and causing a shortage of three seats

Answer 1

The probability that exactly 178 passengers will show up and causing a shortage of three seats is 0.004364

Step-by-step explanation:

X = number of passengers show up

X follow binomial distribution with n = 180 ,

p = 1 - 0.05

= 0.95

P(X = 178) = binom.dist(178,180,0.95,0)

= 0.004364

Therefore, The probability that exactly 178 passengers will show up and causing a shortage of three seats is 0.004364