SOLUTION: A small regional carrier accepted 20 reservations for a particular flight with 19 seats. 17 reservations went to regular customers who will arrive for the flight. Each of the remai
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Question 1152965: A small regional carrier accepted 20 reservations for a particular flight with 19 seats. 17 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 41% chance, independently of each other.
(Report answers accurate to 4 decimal places.)
Find the probability that overbooking occurs.
Find the probability that the flight has empty seats. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! overbooking occurs if 3 or 4 show up, which has probability of 4*0.41^3*0.59 for 3 (the binomial formula) 4C3*p^3*(1-p)^1
and 0.41^4 for all four to show up.
This is 0.0283+0.1627=0.1910
Has empty seats means only 1 shows up
this is 4C1*0.41^1*0.59^3=0.3368
