StoreCo Construction Company builds storage unit complexes for rental. It is typically assumed that the construction time in days for these storage units follows a

normal distribution. The mean time for construction of a single storage unit complex is 25 days, and the standard deviation is 5 days. Recently the financial

manager of StoreCo Construction signed a contract to complete a storage complex in Pullman in 20 days. Failure to complete the triplex in the contracted time (20

days) will result in severe penalties but the financial manager knew that if he didn’t agree to the contract that their competitors would! a. Let X be a random

variable that represents the number days it takes StoreCo Construction to complete a single storage unit complex. Write down the distribution of X. b. What is the

probability that StoreCo Construction Company will be in violation of their construction contract? c. What is the probability that they will not be in violation?

d. What is the probability that the storage unit complex will take between 20 and 25 days to construct?