An airplane has 175 seats. Because some ticketed

Chapter , Problem 6.32

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QUESTION:

An airplane has 175 seats. Because some ticketed passengers do not show up, the airline sells 180 seats. The probability that a passenger will not show up is 5%. Find the probability that more than 175 passengers will show up, causing a shortage of seats.

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QUESTION:

An airplane has 175 seats. Because some ticketed passengers do not show up, the airline sells 180 seats. The probability that a passenger will not show up is 5%. Find the probability that more than 175 passengers will show up, causing a shortage of seats.

ANSWER:

Step 1 of 2

Let be the random variable that denotes the number of passengers showing up causing a shortage of seats.

The probability that a passenger will not show up is 5%.

Therefore,

Here, .

Now, . Then,

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