Question

past studies of airline industry show that only 85% of passengers who book flights actually show up for the flight. the airbus A380 the largest passenger plane holds 525 passengers. if 600 people to book a seat on the airbus what is the probability that at most 525 actually show up for the flight in this binomial situation

Answer 1

Here , we use Binomial distribution :

where,

p = Probability of success

x = Number of success

n = Number of trials

Required probability = Probability that at most 525 actually show up for the flight = P( X 525 )

We use Excel function "BINOM.DIST()" :

So,

Hence,

Probability that at most 525 actually show up for the flight = 0.9644