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 $3\mathrm{.}0,$ but that the net profit margin is norma distributed with a mean of $3\mathrm{.}8\%$ 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 $0\mathrm{.}2.$ 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 number 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 $C1.$ 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 in the cells in column D below D$1.$ To calculate return on equity distribution values, in the cells in column $E$ below $E1,$ multiply pairs of values in the "Net Profit" and "Total Asset Turnover" columns by the value in cell