Consider the following information on two stocks:

P$($State$)$ Stock A Stock B

Boom $20\%30\%20\%$

Normal $50\%12\%-5\%$

Slow $15\%4\%8\%$

Recession $15\%-10\%10\%$

Calculate the covariance$($A$,$B$)$ and Calculate the correlation$($A$,$B$).$