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Nwabudike works in downtown Atlanta, but lives outside of The Perimeter. Over th

ID: 3058003 • Letter: N

Question

Nwabudike works in downtown Atlanta, but lives outside of The Perimeter. Over the course of one year, the amount of time it takes Nwabudike to commute to work follows an approximately uniform distribution between 56 and 99 minutes. Nwabudike selects a random work day during this year and records the amount of time it takes to commute to work. Find the probability of the following events. In each case, give exact answers or round to at least three decimal places.

A.Nwabudike’s commute time for the selected day is between 61 and 65 minutes.

B.Nwabudike’s commute time for the selected day is less than 63 minutes.

C.Nwabudike’s commute time for the selected day is at least 93 minutes.

Explanation / Answer

Nwabudike works in downtown Atlanta, but lives outside of The Perimeter. Over the course of one year, the amount of time it takes Nwabudike to commute to work follows an approximately uniform distribution between 56 and 99 minutes. Nwabudike selects a random work day during this year and records the amount of time it takes to commute to work. Find the probability of the following events. In each case, give exact answers or round to at least three decimal places.

A.Nwabudike’s commute time for the selected day is between 61 and 65 minutes.

B.Nwabudike’s commute time for the selected day is less than 63 minutes.

C.Nwabudike’s commute time for the selected day is at least 93 minutes.