Hardhat Construction Co$.$ just bid on a commercial project. The bid was based on a normal

distribution representing Hardhat's estimates of possible costs for the project. The mean is $$6\mathrm{.}5$

million, with a standard deviation of $$1\mathrm{.}1$ million. How likely is it that the project costs will be:

a$.$ between $$5$ and $$6$ million?

b$.$ no more than $$7\mathrm{.}2$ million?

c$.$ If Hardhat Construction is awarded the contract and will receive $$10$ million, what is the

chance that they will have profits of less than $$1\mathrm{.}5$ million?

d$.$ there is a $5\%$ chance that the costs will be over