• Sigrid’s service station is considering investing in a heavy-duty snowplow this fall. Sigrid has analyzed the situation carefully and feels that this would be a very profitable investment if the snowfall is heavy, somewhat profitable if the snowfall is moderate, and would result in a loss if the snowfall is light. Specifically, Sigrid forecast a profit of $7,000 if snowfall is heavy and $2,000 if its moderate, and a loss of $9,000 if it is light. From the weather bureau’s long range forecast, Sigrid estimate that P (heavy snowfall) = 0.4, P(moderate snowfall) = 0.3, and P (light snowfall) = 0.3 a. Prepare a decision tree for Sigrid’s problem b. Using the expected value criterion, would you recommend that Sigrid invest in the snowplow?