You are considering the risk-return profile of two mutual funds for investment. The relatively risky fund promises an expected return of 8% with a standard deviation of 14%. The relatively less risky fund promises an expected return and standard deviation of 4% and 5%, respectively. Assume that the returns are approximately normally distributed.

a-1. Calculate the probability of earning a negative return for each fund. (round z value to 2 decimal places and final answer to 4 decimal places.)

a-2. Which mutual fund will you pick if your objective is to minimize the probability of earning a negative return?

b-1 Calculate the probability of earning a return above 8% for each fund. (round z value to 2 decimal places and final answer to 4 decimal places)

b-2 Which mutual fund will you pick if your objective is to maximize the probability of earning a return above 8%?