Hyacinth Macaw invests $45\%$ of her funds in stock I and the balance in stock J$.$ The standard deviation of returns on I is $17\%,$ and on J it is $30\%.$

Note: Use decimals, not percents, in your calculations.

Calculate the variance and standard deviation of portfolio returns, assuming the correlation between the returns is $1.$

Calculate the variance and standard deviation of portfolio returns, assuming the correlation is $0\mathrm{.}4.$

Calculate the variance and standard deviation of portfolio returns, assuming the correlation is $0.$