Report $6\mathrm{.}2.$ Two common approaches to mutual fund investing are growth investing and value investing. Growth funds invest

in companies whose stock prices are expected to grow at a faster rate, relative to the overall stock market. Value funds, on the other hand,

invest in companies whose stock prices are below their true worth.

Dorothy Brennan works as a financial advisor at a large investment firm and has access to the annual return data for Fidelity's Growth

Index mutual fund $($Growth$)$ and Fidelity's Value Index mutual fund $($Value$)$ for years $1984-2019.$ She calculates the mean and standard

deviation for the Growth fund as $15\mathrm{.}75\%$ and $23\mathrm{.}80\%,$ respectively. The corresponding mean and standard deviation for the Value fund is

$12\mathrm{.}00\%$ and $17\mathrm{.}98\%,$ respectively. She believes that the fund returns are stable and are normally distributed.

In a report, use the sample information to compare and contrast the Growth and Value funds for client objectives such as $($a$)$ minimizing

the probability of earning a negative return and $($b$)$ maximizing the probability of earning a return greater than $10\%.$