Suppose a person can get $25 with a 25% chance, $75 with a 25% chance and 0 with a 50% chance.

1-What is the expected payoff of this gamble? Enter the numerical value only.

2- What is the variance of the gamble? Put down the numerical value using one decimal.

3- Suppose the person has a utility over amounts for sure equal to u(y) = square root of y. What is the expected utility of the gamble? Use three decimals in your numeric answer.

4-What is the amount for sure that would give the person the same expected utility as the gamble? Use two decimals in your numeric answer.

5-Suppose we give the person an amount for sure equal to the expected payoff of the gamble. What would the person's utility with this amount of money?