Customers expenencing bechnicall difficulty with their inemer cable hookup ay ca

Question

Customers expenencing bechnicall difficulty with their inemer cable hookup ay call an 800 number fo techrical support. It takes the bechnician between 30 seconds and 11 minuses to nesove the problem. The distmbution of this support time follows the uniform distribution a. What ane the values for a and b in minutes? (Do not round your intermediate calculations. Round your answers to 1 decimal place.) b-1. What is the mean time to resolve the problem? (Do net round your intermediate calculations Round your answer to 2 decimal places.) b-2 What is the standard deviation ofl the time? (Do not round your intermediate calculations. Round your answer to 2 decimal places Standard devistion calculations. Round your answer to 2 decimal places Percent e. What percent of the problems take more than 5 minutes to esolve? (De not round your intermediate d. poti motwg smes what are the md pons of tese Suppose w"-sh to "ed the molde 50% of wo times? (De not round your intermediate caloulations.Round your answers to 3 decimal places.) End point

Explanation / Answer

(a) a=30 seconds=0.5 minutes

b= 11 minutes(or 11*60=660 seconds)

(b) Mean Time= (30+660)/2 =690/2 =345seconds(or 5.75 minutes)

(c) Standard deviation of normal distribution=(b-a)/sqrt(12)

=(11-0.5)/sqrt(12) =3.03

(d) P(x>5) = 0.6400, found by [1/(13 – 0.5)]*(13 – 5)

(e)

(i) solve for x [1/(13 – 0.5)]*(x– 0.5) = 0.25 So,x=3.625

The lower endpoint occurs when P(x<3.625) = 0.25,

(ii) solve for x [1/(13 – 0.5)]*(13 - x) = 0.25 So,x=9.875

The upper endpoint occurs when P(x>9.875) = 0.25

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