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An airplane has 175 seats. Because some ticketed
Chapter , Problem 6.32(choose chapter or problem)
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.
Questions & Answers
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,