You are considering the risk$-$return profile of two mutual funds for investment. The relatively risky fund promises an expected return of $12\mathrm{.}5\%$ with a standard deviation of $19\mathrm{.}2\%.$ The relatively less risky fund promises an expected return and standard deviation of $4\mathrm{.}1\%$ and $5\mathrm{.}9\%,$ respectively. Assume that the returns are approximately normally distributed.

$8-1.$ Calculate the probability of earning a negative return for $$ach fund.

Note: Do not round intermediate calculations. Round your final answers to $4$ decimal places.

Riskier fund

Less risky fund

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

Riskier fund

$$ Less risky fund

calculate the probability of earning a return above $10\mathrm{.}5$ for each fund

which fund will you pick if your objective is to maximize the probability of earning a return above $10\mathrm{.}5\%$