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 90 seconds to 12 minutes to resolve the problem. The distribution of this support time follows the uniform distribution.

What percent of the problems take more than 5 minutes to resolve?

Customers experiencing technical difficulty with their internet cable hookup may call an 800 number for technical support. It takes the technician between 90 seconds to 12 minutes to resolve the problem. The distribution of this support time follows the uniform distribution.

What percent of the problems take more than 5 minutes to resolve?

Explanation / Answer

PDF of Uniform Distribution f(x) = 1 / ( b - a ) for a < x < b
b = Maximum Value
a = Minimum Value
Mean = a + b / 2
Standard Deviation = Sqrt ( ( b - a ) ^ 2 / 12 )
Mean = a + b / 2 = 405
Standard Deviation = Sqrt ( ( b - a ) ^ 2 / 12 ) = 181.865

f(x) = 1/(b-a) = 1 / (720-90) = 1 / 630 = 0.0016

P(more than 5 minutes to resolv) = P(X > 300) = (720-300) * f(x)
= 420*0.0016
= 0.672

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