3. Stella Yan Hua is considering the possibility of opening a small dress shop. She has located a good mall that attracts students. Her options are to open a small shop, a medium-sized shop, or no shop at all. The market for a dress shop could be good, average, or bad. The probabilities for these three possibilities are 0.2 for a good market, 0.5 for an average market, and 0.3 for a bad market. Building no shop at all yields no loss and no gain. The net profit or loss for the small or medium-sized shops for the various market conditions are given in the table: Alternatives Good Market, $ Average Market, $ Bad Market, $ Small Shop 75,000 25,000 -40,000 Medium-sized Shop 100,000 35,000 -60,000 No Shop 0 0 0 Probabilities 0.20 0.50 0.30 a) Build a decision tree b) Calculate EMV for each option c) Make a conclusion which option is better 4. You are close to graduation and have to make a decision regarding your future career. You consider three options. Option 1 is to accept the job offer you received from the company where you did your internship. Option 2 is to reject the offer and find a new job with potentially higher salary. Option 3 is to continue your education and receive Master's Degree, which can provide you not only with the higher salary, but also with the opportunity for promotion. a) Define your values and desired outcome for the career decision.