Because not all airline passengers show up for their reserve

Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passenger .The probability that a passenger does not show up is 0.10, and the passengers behave independently. What is the probability that the flight departs with empty seats. What distribution does the random variable follow? Binomial Exponential Normal Neagtive Binomial Gamma Poisson Lognormal Hypergeometric

Solution

We note the following points from the above question:

1. All passengers behave independently.

2. Each passenger has the same probability of not showing up, equal to 0.10 (p = 0.10)

3. The maximum number of people who dont show up is fixed at 125. (n = 125)

So, keeping the above points in mind, we conclude that the random variable follows Binomial Distribution with n=125 and p=0.10.