Question

Not all airline passengers show up for their reserved seat. Hence, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.1, and assume that the passengers behave independent. What is the probability that every passenger who shows up can take the flight? a). 0.996 b). 1 c). 0.989 d). 0.5

          Not all airline passengers show up for their reserved seat. Hence, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.1, and assume that the passengers behave independent.
What is the probability that every passenger who shows up can take the flight?
a). 0.996 b). 1 c). 0.989 d). 0.5

Not all airline passengers show up for their reserved seat. Hence, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.1, and assume that the passengers behave independent.
What is the probability that every passenger who shows up can take the flight?
a). 0.996 b). 1 c). 0.989 d). 0.5

Added by Kathy S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

05/16/2024

Step 1

Let \( X \) be the number of passengers who show up for the flight. Since each passenger independently decides to show up with a probability of \( 0.9 \) (since the probability of not showing up is \( 0.1 \)), \( X \) follows a binomial distribution with Show more…

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Not all airline passengers show up for their reserved seat. Hence, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.1, and assume that the passengers behave independent. What is the probability that every passenger who shows up can take the flight? a). 0.996 b). 1 c). 0.989 d). 0.5