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A small regional carrier accepted 21 reservations for a particular flight with 20 seats. 13 reservations went to regular customers who will arrive for the

A small regional carrier accepted 21 reservations for a particular flight with 20 seats. 13 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 56% chance, independently of each other.

1. Find the probability that overbooking occurs. Give answer to 5 decimal points.

2. Find the probability that the flight has one or more empty seats. Give answer to 4 decimal points.

3. Find the probability that the flight has no empty seats and no overbooking. Give answer to 4 decimal points.

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