$12)$ The stocks for BMT & AWM have the following probability distributions:

Economy Probability BMT AWM

Recession $50\%8\%14\%$

Average $30\%14\%17\%$

Boom $20\%20\%19\%$

a$)$ Compute the expected rate of return for BMT$.$

b$)$ Compute the expected rate of return for AWM. solve written out and not in excel