On-Time Flights According to American Airlines, Flight 215 from Orlando to Los Angeles

Chapter 7, Problem 21

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QUESTION:

On-Time Flights According to American Airlines, Flight 215 from Orlando to Los Angeles is on time 90% of the time. Randomly select 150 flights and use the normal approximation to the binomial to (a) approximate the probability that exactly 130 flights are on time. (b) approximate the probability that at least 130 flights are on time. (c) approximate the probability that fewer than 125 flights are on time. (d) approximate the probability that between 125 and 135 flights, inclusive, are on time

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QUESTION:

On-Time Flights According to American Airlines, Flight 215 from Orlando to Los Angeles is on time 90% of the time. Randomly select 150 flights and use the normal approximation to the binomial to (a) approximate the probability that exactly 130 flights are on time. (b) approximate the probability that at least 130 flights are on time. (c) approximate the probability that fewer than 125 flights are on time. (d) approximate the probability that between 125 and 135 flights, inclusive, are on time

ANSWER:

Step 1 of 5

Given that

The normal approximation of the binomial distribution can be used, if the rule of thumb  is satisfied

Rule of thumb is satisfied, thus we can use the normal approximation.

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