$1.$ A stock has the following probability distribution:

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Demand for the Probability of This Rate of Return If This

Company$$s Products Demand Occurring Demand Occurs

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Weak $0\mathrm{.}100\mathrm{.}15($or $15\%)$

Below Average $0\mathrm{.}150\mathrm{.}10($or $10\%)$

Average $0\mathrm{.}500\mathrm{.}15($or $15\%)$

Above Average $0\mathrm{.}200\mathrm{.}25($or $25\%)$

Strong $0\mathrm{.}050\mathrm{.}30($or $30\%)$

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Calculate the stock$$s expected return, variance of returns, standard deviation of returns, and coefficient of variation of returns. Use at least seven decimal places to compute variance and standard deviation to avoid significant rounding errors.