As an investor you are considering investing into Locke Corporation $($LC$),$ According to your estimizations there is $75\%$ probability that the return will be $1$ & $15\%$ probability that the return will be $20\%$ and a $10\%$ probability that the return will be $8\%.$ You have also estimated LC$\text{'}$s beta is $1\mathrm{.}7.$ The market required rate of return is $15\%,$ and the risk free rate is $9\%.$ What is the expected rate of return for LC$?$ What is the required rate of return of LC$?$ Based on calculations, should you buy stocks of LC$?$ Why? What is Beta? Define what it means, how it is derived and how it can be used in reality $($provide an example$).$ Bullet points.