Problem $1(20$ points$).$ The following are the monthly rates of return for Madison Cookies and for Sapphire Electric during a six$-$month period:

$\backslash$table$[[$Month$,\backslash$table$[[$Madison Cookies$],[($MS in short$)]],\backslash$table$[[$Sophie Electric$],[($SE in Short$)]]],[1,-0\mathrm{.}04,0\mathrm{.}07],[2,0\mathrm{.}06,-0\mathrm{.}02],[3,-0\mathrm{.}07,-0\mathrm{.}10],[4,0\mathrm{.}12,0\mathrm{.}15],[5,-0\mathrm{.}02,-0\mathrm{.}06],[6,0\mathrm{.}05,0\mathrm{.}02]]$

Please keep $4$ numbers after the decimal point in your answers.

$1.$a$.(4$ points$)$ Compute monthly average return for each stock. madison Sop Lie

$201$

$-\mathrm{.}04$

$+\mathrm{.}06$

$\mathrm{.}01670\frac{050}{60083}$

$+-\mathrm{.}011.$b$.(8$ points$)$ Compute standard deviations of returns for each stock

$1.$c$.(6$ points$)$ Compute the covariance between the returns of the two stock

$1.$d$.(2$ points$)$ Compute the correlation coefficient of the two stocks' returns.