General Meters is considering two mergers. The first is with Firm A in its own volatile industry, the auto speedometer industry, while the second is a merger with Firm B in an industry that moves in the opposite direction $($and will tend to level out performance due to negative correlation$).$

$\backslash$table$[[$General Meters Merger with Firm A$,$General Meters Merger with Firm B$,],[$Possible Earnings $($$ in$,$Possible Earnings $($$ in$,,,],[$millions$),$Probability,$0\mathrm{.}20,$$$20,$Probability$],[$$$20,0\mathrm{.}40,35,0\mathrm{.}15,],[35,0\mathrm{.}40,50,0\mathrm{.}50,],[50,,0\mathrm{.}35,,]]$

a$.$ Compute the mean, standard deviation, and coefficient of variation for both investments Note: Do not round intermediate calculations. Enter your answers in millions. Round "Coefficient of variation" to $3$ decimal places and "Standard deviation" to $2$ decimal places.

$\backslash$table$[[,$Merger A$,$Merger B$],[$Mean$,,],[$Standard deviation,,$],[$Coefficient of variation,,$]]$

b$.$ Assuming investors are risk$-$averse, which alternative can be expected to bring the higher valuation? $$

Merger A

Merger B