A formula in financial analysis is Return on equity $=$ net profit margin $$ total asset turnover $$ equity multiplier. Suppose that the equity multiplier is fixed

at $3\mathrm{.}5,$ but that the net profit margin is normally distributed with a mean of $3\mathrm{.}6\%$ and a standard deviation of $0\mathrm{.}4\%,$ and that the total asset turnover is

normally distributed with a mean of $1\mathrm{.}5$ and a standard deviation of $0\mathrm{.}3.$ Set up and conduct a sampling experiment to find the distribution of the return

on equity. Show how the results as a histogram would help explain your analysis and conclusions.

Place "Equity Multiplier," "Net Profit Margin Mean," "Net Profit Margin Std Dev," "Total Asset Mean," and "Total Asset Std Dev" in column A in rows $1,2,$

$3,4,$ and $5,$ respectively, and place their corresponding values in column B$.$ Place the column headers "Net Profit Margin," "Total Asset Turnover," and

"Return on Equity" in cells C$1,$ D$1,$ and E$1,$ respectively. To generate random numbers for the net profit margin based on the normal distribution, in the

cells in the "Net Profit Margin" column, enter the formula $=$NORM.INV$(,$$$\_$ $$$ in the cells in column C below C$1.$

To generate random numbers for the total asset turnover based on the normal distribution, in the cells in the "Total Asset Turnover" column, enter the

formula $=$ NORM.INV$(\frac{,}{b}ar(grad),$$$$,$$$ $)$ in the cells in column D below D$1.$ To calculate return on equity distribution values,

in the cells in column E below E$1,$ multiply pairs of values in the "Net Profit" and "Total Asset Turnover" columns by the value in cell

Generate one thousand such random values for the net profit margin and total asset distribution and construct a histogram for the "Return on Equity"

values. Describe how such a histogram would look.

The histogram will be $,$ and a the value found by

the net profit margin distribution mean, the total asset turnover distribution mean, and equity multiplier, the product of which is

$($Type an integer or a decimal. Do not round.$)$