Consider the following information: Rate of Return If State Occurs
State of Probability of
Economy State of Economy Stock A Stock B Stock C
Boom .20 .35 .45 .25
Good .45 .20 .16 .09
Poor .25 −.02 −.05 −.03
Bust .10 −.16 −.20 −.12

a.
Your portfolio is invested 24 percent each in A and C, and 52 percent in B. What is the expected return of the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.)

b-1. What is the variance of this portfolio? (Do not round intermediate calculations and round your answer to 5 decimal places, e. g., .16161.)
b-2. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.)

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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