How to do decision under uncertainty question (Consider First Order Stochastic Dominance (FOSD) as a criterion for choice under uncertainty.For each axiom in (a) , (b) and (c) below: 1. Determine whether or not the axiom is satisfied by FOSD.2. If it is satisfied, prove it. If it isn't satisfied provide a counter-example and clearly demonstrate that the axiom is violated. a. mixture dominance b. mixture continuity c. independence)