The Butler$-$Perkins Company $($BPC$)$ must decide between two mutually exclusive projects. Each costs $$6,750$ and has an expected life of $3$ years. Annual project cash flows begin $1$ year after the initial investment and are subject to the following probability distributions:BPC has decided to evaluate the riskier project at $12\%$ and the less$-$risky project at $10\%.$ a$.$ What is each projects expected annual cash flow? Project Bs standard deviation $()$ is $$5,798,$ and its coefficient of variation $()$ is $0\mathrm{.}76.$ What are the values of and $?$ b$.$ Based on the risk$-$adjusted NPVs$,$ which project should BPC choose? c$.$ If you knew that Project Bs cash flows were negatively correlated with the firms other cash flows, but Project As cash flows were positively correlated, how might this affect the decision? If Project Bs cash flows were negatively correlated with gross domestic product $($GDP$),$ while As cash flows were positively correlated, would that influence your risk assessment?