2 Customers experiencing technical difficulty with their Internet cable hookup m

Question

2 Customers experiencing technical difficulty with their Internet cable hookup may call an 800 number for technical support. It takes the technician between 18 seconds and 15 minutes to resolve the problem. The distribution of this support time follows the uniform distribution a. What are the values for a and b in minutes? (Do not round your intermediate calculations.) b-1. What is the mean time to resolve the problem? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Mean b-2. What is the standard deviation of the time? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Standard deviation c. What percent of the problems takes more than 5 minutes to resolve? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)

Explanation / Answer

a) a = 18
b = 15*60 = 900

b-1) Mean = 0.5*(a+b) = 0.5*(18+900) = 459 seconds

b-2) sd = sqrt((1/12)*(b-a)2) = sqrt((1/12)*(900-18)2)= 254.61

b-3) P(X > 300) = 1 - P(X < 300) = 1 - ((x-a)/(b-a)) = 1 - ((300-18)/(900-18)) = 0.68

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