HCC builds 3 and 4-unit apartment buildings for investors and it is believed that the total construction time in days follow a normal distribution. With improvements in construction technology, the mean time to construct a triplex was reduced from 100 days to 80 days, however the standard deviation increased from 20 to 25 days. Failure to complete the triplex in 125 days still results in severe penalty fees. After these technological improvements have been implemented by HCC, answer the following questions: a. What is the probability of HCC not violating the contract and what is the probability of HCC violating the contract?

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HCC builds 3 and 4-unit apartment buildings for investors and it is believed that the total construction time in days follow a normal distribution. With improvements in construction technology, the mean time to construct a triplex was reduced from 100 days to 80 days, however the standard deviation increased from 20 to 25 days. Failure to complete the triplex in 125 days still results in severe penalty fees.

After these technological improvements have been implemented by HCC, answer the following questions:

a. What is the probability of HCC not violating the contract and what is the probability of HCC violating the contract?

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