Question

The length of time Y necessary to complete a key operation in the construction of houses...

The length of time Y necessary to complete a key operation in the construction of houses has an exponential distribution with mean 14 hours. The formula

C = 100 + 80Y + 3Y2

relates the cost C of completing this operation to the square of the time to completion. The mean of C was found to be found to be 2,396 hours and the variance of C was found to be 13,437,760.

How many standard deviations above the mean is 3,000 hours? (Round your answer to two decimal places.)

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