You plan to invest in Stock X, Stock Y, or some combination of the two. The expected return for X is 10% and x= 5%. The expected return for Y is 12% and y = 6%. The correlation coefficient, xy, is 0.75.

Suppose the correlation of stock X with the market pxm, is 0.8, while correlation of stock Y with the market, pym, is 0.9. Use this information, along with the other data, to determine the betas of stock X and stock Y.