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A small reginal carrier accepted 21 reservation's for a particular flight with 17 seats. 14 reservations...

A small reginal carrier accepted 21 reservation's for a particular flight with 17 seats. 14 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 46% chance, independently of eachother.

Find the probability that overbooking occurs.
Find the probability that the flight has empty seats.
Math   Statistics-And-Probability   
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Answer #1

Let the probability of remaining 7 passengers arriving be p

And X be the number of remaining passengers arriving  

1)

Probability that overbooking occurs

=

2)

Probability that flight has empty seats

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