Question

Question of probability and stats:
An airline finds that, on the average, 3% of the persons who reserve seats for a certain flight do not turn up for the flight. Consequently, the airline decides to allow 200 people to reserve seats on a plane which can only accommodate 196 passengers. Use the Poisson approximation to the binomial distribution to calculate the probability that there will be a seat available for every person who has reserved a seat and who turns up for the flight.

Answer 1

Binomial Distribution:

p= 0.03

q= 1-p =0.97

n=200

Everyone should should get a seat= 1- [ P(X=0) + P(X=1) +P(X=2) +P(X=3) ]

P(Seat allocation for all reserved) = 1 - 0.147151 = 0.85284881