Quesiion Two.

A firm supplies aircraft engines to the government and to private firms. It must decide betweentwo$-$mutually$-$exclusive contracts. If it contracts with a private finm; Its profit would be $$2$ million, $$0\mathrm{.}7$ million, or $-$$$0\mathrm{.}5$ million with probabilities $0\mathrm{.}25,0\mathrm{.}41,$ and $0\mathrm{.}34,$ respectively. If it contracts with the government, its profit will be $$4$ million or $-$$$2\mathrm{.}5$ million with receptive probabilities $0\mathrm{.}45$ and $0\mathrm{.}55.$ Which contract offers the greater expected profit?