Consider the Arrows portfolio model with one risky asset and one risk-free asset. The initial wealth of the investor is $10,000, the interest rate of the risk-free asset 7%, and the probability distribution of the return of the risky asset X = (1%, 10%; 0.5, 0.5).

Write the distribution of final wealth induced by the random return of the risky asset, and an investment of $3,000 in the risky asset. Write the outcomes and probabilities of the portfolio from the lowest to the highest values. Use fractions to write the probabilities