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The scheduled arrival time for a daily flight from Boston to New York is 9:35 am

ID: 3173540 • Letter: T

Question

The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 9:18 am and a late arrival time of 9:41 am. After converting the time data to a minute scale, calculate the mean of the distribution. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) What is the probability that a flight arrives late (later than 9:35 am)? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Explanation / Answer

here mean of the distribution =(a+b)/2=(18+41)/2=29.5

or mean of the distribution =9:29:30 am

probability that a flight arrives late =(b-x)/(b-a) =(41-35)/(41-18)=0.2609

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