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

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

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

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