I want the solution to be absolutely correct

Q$2$: A financial advisor has recommended two possible mutual funds for investment:

Fund A and Fund B$.$ The return that will be achieved by each of these depends on

whether the economy is good, fair, or poor. A payoff table has been constructed to

illustrate this situation. $(7$ marks$)$

Answer the following and show detailed calculations.

$($a$)$ Draw the decision tree to represent this situation. $(2$ marks$)$

$($b$)$ Perform the necessary calculations to determine which of the two mutual funds is

better. Which one should you choose to maximize the expected value? $(2$ marks$)$

$($c$)$ Suppose there is a question about the return of Fund A in a good economy. It could

be higher or lower than $$10,000.$ What value for this would cause a person to be

indifferent between Fund A and Fund B $($i$.$e$.,$ the expected value would be the same$)?$

$(3$ marks$)$