I particularly need help understanding Part C of this question. Thanks!

Consider a world in which each individual has an endowment of $80,000 and they will be healthy or unhealthy with probability pi. If unhealthy they must spend $20, 000 in hospital expenditures, denoted X. Individuals know their health probability. The only insurance company in town offers a unique contract: full insurance at premium P. The company does not know the health probability of any single individual but it knows that p,- is distributed uniformly between 0 and 1 in the population. The individual's utility is Endowment (Hospital Expenditures) Insurance Premium Expenses where q > 1. a. (3 pts) Enumerate the ways in which the endowment money aects the decision to obtain insurance. b. (3 pts) Provide a brief economic explanation of what it means for 4) to be greater than one. c. ( 6 pts) Derive the condition for consumers to buy insurance. Explain briey