Question

when someone buys a ticket for a flight the probability that they will not show up for the flight is .0995. An agent wants to book 242 people for a flight that can only hold 219 passengers. What is the usual number of people that will not show up for the flight? Please provide as much explanation as possible.

Answer 1

Probability that after booking a ticket the passenger will not arrive = 0.0995

Probability that after booking a ticket the passenger will arrive = 1 - 0.0995

= 0.9005

So, to find that how many passengers will not arrive we will do,

= 242 × 0.0995

= 24.079

= 24 peoples (approx)

So, to find that how many passengers will arrive we will do,

= 242 × 0.9005

= 217.921

= 218 (approx)

And the capacity of flight is 219, 218 passengers can easily travel.

Check

Total passengers = passengers that will arrive + passengers that won't arrive

= 218 + 24

= 242

Hope you got it...