Can I get help for this question:

The certainty equivalent of a lottery (lottery is just economics jargon for gamble) is the amount of money you would have to be given with certainty to be just as well-off with that lottery. Suppose that your utility function over lotteries that give you an amount x if Event 1 happens and y if Event 1 does not happen is U(x, y, ) = x + (1 - )y, where is the probability that Event 1 happens and 1 is the probability that Event 1 does not happen.

(i) If = .5, calculate the utility of a lottery that gives you $10,000 if Event 1 happens and $100 if Event 1 does not happen.

(ii) Given this utility function and = .5, write a general formula for the certainty equivalent of a lottery that gives you $x if Event 1 happens and $y if Event 1 does not happen.

(iii) Calculate the certainty equivalent of receiving $10,000 if Event 1 happens and $100 if Event 1 does not happen.