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Delta airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 and 2 hours 20 minutes. Let X be the time flight (in minutes) for this route. What is the probability that the flight will be no more than 5 minutes late based on the quote?

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sqdancefan

Answer:

  50%

Step-by-step explanation:

Arrival times are uniformly distributed between 5 minutes early and 15 minutes late. Hence, "5 minutes late" is the midpoint of the interval. Since the distribution is uniform, the probability of arrival in the first half of the interval is 1/2.

The probability that the flight will be no more than 5 minutes late is 50%.