Financial management (please give a correct answer without using chat gpt)

Using the information contained in the table below, answer the questions in the issue.

	Probability associated with each state	Rate yield of title A	Rate yield of title B
Period of recession	0.3	-15%	20%
Period normal	0.1	20%	30%
Period of prosperity	?	60%	40%

1. What are the expected returns and standard deviations of securities A and B?

2. Let's assume you have a total of $400,000. If you invest $100,000 in stock B and the rest in stock A.

a) What would be the expected return on the portfolio?

b) Determine the standard deviation of the portfolio.