Stocks A and B have the following probability distributions of expected future returns:Probability$$A$$B$0\mathrm{.}1(7\%)(27\%)0\mathrm{.}2600\mathrm{.}413180\mathrm{.}220260\mathrm{.}13136$aCalculate the expected rate of return, $,$ for Stock B $(=12\mathrm{.}80\%.)$ Do not round intermediate calculations. Round your answer to two decimal places. $\%$ bCalculate the standard deviation of expected returns, A$,$ for Stock A $($B $=17\mathrm{.}04\%.)$ Do not round intermediate calculations. Round your answer to two decimal places. $\%$Now calculate the coefficient of variation for Stock B$.$ Do not round intermediate calculations. Round your answer to two decimal places.Is it possible that most investors might regard Stock B as being less risky than Stock A$?$ IIf Stock B is more highly correlated with the market than A$,$ then it might have the same beta as Stock A$,$ and hence be just as risky in a portfolio sense.IIIf Stock B is less highly correlated with the market than A$,$ then it might have a lower beta than Stock A$,$ and hence be less risky in a portfolio sense.IIIIf Stock B is less highly correlated with the market than A$,$ then it might have a higher beta than Stock A$,$ and hence be more risky in a portfolio sense.IVIf Stock B is more highly correlated with the market than A$,$ then it might have a higher beta than Stock A$,$ and hence be less risky in a portfolio sense.VIf Stock B is more highly correlated with the market than A$,$ then it might have a lower beta than Stock A$,$ and hence be less risky in a portfolio sense.c$-$Select$-$IIIIIIIVV dAssume the risk$-$free rate is $1\mathrm{.}5\%.$ What are the Sharpe ratios for Stocks A and B$?$ Do not round intermediate calculations. Round your answers to four decimal places.Stock A:$$ Stock B:$$ Are these calculations consistent with the information obtained from the coefficient of variation calculations in Part b$?$IIn a stand$-$alone risk sense A is more risky than B$.$ If Stock B is less highly correlated with the market than A$,$ then it might have a lower beta than Stock A$,$ and hence be less risky in a portfolio sense.IIIn a stand$-$alone risk sense A is more risky than B$.$ If Stock B is less highly correlated with the market than A$,$ then it might have a higher beta than Stock A$,$ and hence be more risky in a portfolio sense.IIIIn a stand$-$alone risk sense A is less risky than B$.$ If Stock B is more highly correlated with the market than A$,$ then it might have the same beta as Stock A$,$ and hence be just as risky in a portfolio sense.IVIn a stand$-$alone risk sense A is less risky than B$.$ If Stock B is less highly correlated with the market than A$,$ then it might have a lower beta than Stock A$,$ and hence be less risky in a portfolio sense.VIn a stand$-$alone risk sense A is less risky than B$.$ If Stock B is less highly correlated with the market than A$,$ then it might have a higher beta than Stock A$,$ and hence be more risky in a portfolio sense. $($ please see the picture for the table$)$