Question

In: Statistics and Probability

The average time taken for your Internet service provider to remotely resolve a trouble ticket has...

The average time taken for your Internet service provider to remotely resolve a trouble ticket has a Normal distribution with a mean of 4.3 hours and a standard deviation of 3.1 hours. One day your service provider selects 100 trouble ticket. What is a probability that an average time to resolved these 100 tickets will be less than 4 hrs?

Solutions

Expert Solution

Solution :

Given that,

mean = = 4.3

standard deviation = = 3.1

n = 100

= 4.3

=  / n = 3.1 / 100=0.31

P( < 4) = P[( - ) / < (4-4.3) /0.31 ]

= P(z <-0.97 )

Using z table  

= 0.1660   

probability= 0.1660   


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