please help!!!!!!!!

the question is provided by professor so it should be clear enough

Bonus Problem 3 (30 marks) (a) An investor is facing two investment plans (Plan X and Plan Y) as follows: Plan X Plan Y Payoff Probability Payoff Probability A 0.5 A 0.45 A2 0.1 A2 0.3 Az 0.3 0.1 A 0.1 A4 0.15 You are given that The investor has strict preference on these outcomes: For any A and Aj, we have either A > Ajor A; Ajor A;