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.
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
So, to find that how many passengers will not arrive we will do,
= 242 × 0.0995
= 24 peoples (approx)
So, to find that how many passengers will arrive we will do,
= 242 × 0.9005
= 218 (approx)
And the capacity of flight is 219, 218 passengers can easily travel.
Total passengers = passengers that will arrive + passengers that won't arrive
= 218 + 24
Hope you got it...
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