please answer below engineering risk management question

A decision trees is a systematic tool used to explore options and identify an appropriate strategy to achieve a goals. They consist of a decision node, followed by a number of alternatives, each of which is subject to a chance node that has the same probability of outcome for each alternative. A decision tree is illustrated below for a programme related decision that has three altemative courses of action (a1,a2, and a3). The chance node has the following probabilities associated with the three outcomes: p(51)=15%, p(s2)=35%, p(s3)=50%. The outcome is measured in terms of impact to schedule in months, and the percentage change to programme cost. What is the correct utility for alternative a 1 ? a. E[a11]=1.675 months E[a12]=101.8625% b. E[a11]=1.2 months E[a12]=101.8625% c. E[a11]=1.675 months E[a12]=103.925% d. E[a11]=1.525 months E[a12]=103.925% What is the correct outcome for alternative a2 ? a. E[a21]=1.2 months E[a22]=103.925% b. E[a21]=1.675 months E[a22]=103.925% c. E[a21]=1.675 months E[a22]=102.8% d. E[a21]=1.525 months E[a22]=103.925% What is the correct outcome for alternative a3? a. E[a31]=1.525 months E[a32]=102.8% b. E[a31]=1.525 months E[a32]=103.925% c. E[a31]=1.675 months E[a32]=102.8% d. E[a31]=1.525 months E[a32]=101.8625%