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 17 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 3,194 hours and the variance of C was found to be 26,316,340.

How many standard deviations above the mean is 4,000 hours?

Would you expect C to exceed 4,000 very often? Select a number.

1. Four thousand is a large number of standard deviations from the mean and therefore indicates that values exceeding 4,000 would be uncommon.

2. Four thousand is a small number of standard deviations from the mean and therefore indicates that values exceeding 4,000 would be uncommon.   

3. Four thousand is a small number of standard deviations from the mean and therefore indicates that values exceeding 4,000 would not be uncommon.

4. Four thousand is a large number of standard deviations from the mean and therefore indicates that values exceeding 4,000 would not be uncommon.

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