Consider the following information on Stocks I and II:

State of Economy Probability of State of Economy Rate of Return if State Occurs

Stock I Stock II

Recession $0\mathrm{.}350\mathrm{.}050\mathrm{.}16$

Normal $0\mathrm{.}400\mathrm{.}210\mathrm{.}14$

Irrational exuberance $0\mathrm{.}250\mathrm{.}150\mathrm{.}21$

The market risk premium is $10$ percent and the risk$-$free rate is $5$ percent.

a$-1.$ What is the beta of each stock?

b$-1.$ What is the standard deviation of each stock?