For the payoff table below, the decision maker will use P$($s$1)=\mathrm{.}15,$ P$($s$2)=\mathrm{.}5,$ and P$($s$3)=\mathrm{.}35.$State of NatureDecisions$1$s$2$s$3$d$1-5,0001,00010,000$d$2-15,000-2,00040,000$Tap the table to full screenCalculate the expected values of all alternatives. What alternative would be chosen according to expected value?For a lottery having a payoff of $40,000$ with probability p and $-15,000$ with probability $(1-$p$),$ the decision maker expressed the following indifference probabilities.PayoffProbability$10,000\mathrm{.}851,000\mathrm{.}60-2,000\mathrm{.}53-5,000\mathrm{.}50$Calculate the Expected Utility for all alternativesWhat alternative would be chosen according to expected utility?