The scheduled arrival time for a daily flight from Boston to New York is 9:25 am

Question

The scheduled arrival time for a daily flight from Boston to New York is 9:25 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 9:17 am and a late arrival time of 9:42 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 9:25 am)? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

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.)

Explanation / Answer

Answers to the question:

a.

Mean for the distribution = 9.17 to 9.42 /2 = 9.295am
In minutes the same will be 9.295 hours is 540+29.50 = 569.50 minutes

b

. P(later than 9.25am) = ?
= (9.42-9.25)/ (9.42-9.17)
=17min/25 min
=.68

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