The probability and the utility function

Need some help writing a paper...on how the below game should be set up, played and solved a consumer decide whether to buy life insurance or not. To keep the game relatively simple, assume the life insurance being considered is term life, i.e. insurance without an accumulating investment value. Keep in mind that your paper is going to be read by people without prior knowledge of game theory.

The most common set-up for this game is to have a potential insurance buyer playing against 'Mother Nature'.