Customers experiencing technical difficulty with their internet cable hookup may

Question

Customers experiencing technical difficulty with their internet cable hookup may call an 800 number for technical support. It takes the technician between 150 seconds and 14 minutes to resolve the problem. The distribution of this support time follows the uniform distribution.

What are the values for a and b in minutes? (Do not round your intermediate calculations. Round your answers to 1 decimal place.)

What is the mean time to resolve the problem? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)

What is the standard deviation of the time? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)

What percent of the problems take more than 5 minutes to resolve? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)

Suppose we wish to find the middle 50% of the problem-solving times. What are the end points of these two times? (Do not round your intermediate calculations. Round your answers to 3 decimal places.)

Customers experiencing technical difficulty with their internet cable hookup may call an 800 number for technical support. It takes the technician between 150 seconds and 14 minutes to resolve the problem. The distribution of this support time follows the uniform distribution.

Explanation / Answer

a)a=150 seconds

b=14*60=840 seconds

b)mean time to resolve the problem =(a+b)/2 =(840+150)/2 =495 seconds

b-2) standard deviation of the time =(b-a)/(12)1/2 =199.19

c)problems take more than 5 minutes to resolve =P(X>300) =1-P(X<300)=1-(300-150)/(840-150)=0.78~78%

d)middle 50% lie b/w 25% and 75%

hence   End point 1 =150+0.25*(840-150)=322.5

End point 2 =150+0.75*(840-150)=667.5

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