A travel company is considering introducing a new package tour. Based on market research, if sales are high, they can make a profit of 107 thousand dollars per year on the new route. Moderate sales would mean they can make $35 thousand, whereas poor sales would imply a loss of $37 thous per year. If the probabilities for the profit scenarios are 0.57 and 0.31, respectively,

a. Determine the expected profit

b. Determine the standard deviation of profit