uppose that the probability that a passenger will miss a flight is 0.0949. Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of 57 passengers. ​(a) If 59 tickets are​ sold, what is the probability that 58 or 59 passengers show up for the flight resulting in an overbooked​ flight? ​(b) Suppose that 63 tickets are sold. What is the probability that a passenger will have to be​ "bumped"? ​(c) For a plane with seating capacity of 230 ​passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being​ "bumped" below 1​%? ​(a) The probability of an overbooked flight is   ​(Round to four decimal places as​ needed.)

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Suppose that the probability that a passenger will miss a flight is
0.0949.
Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of
57
passengers.
​(a) If
59
tickets are​ sold, what is the probability that
58
or
59
passengers show up for the flight resulting in an overbooked​ flight?
​(b) Suppose that
63
tickets are sold. What is the probability that a passenger will have to be​ "bumped"?
​(c) For a plane with seating capacity of
230
​passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being​ "bumped" below
1​%?
​(a) The probability of an overbooked flight is
 
​(Round to four decimal places as​ needed.)
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