The long-term capital depreciation group owns a portfolio that has $20,000 in a fund holding us stocks, and $30,000 in a fund holding european stocks. the annual return on the us fund is (approximately) normally distributed with mean 10% and standard deviation 5%. the annual return on the european fund is (approximately) normally distributed with mean 1% and standard deviation 8%. the covariance between the two funds’ annual returns is 0.002. (a) compute the probability distribution of the value of the long-term capital depreciation group’s portfolio after one year. (b) what is the probability that the value of their portfolio at yearend is less than $50,000?

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?