Four decimal places Given the probability distributions for variables X and Y shown to the right,...
Given below is a bivariate distribution for the random variables x and y. f(x, y) x y 0.3 50 80 0.2 30 50 0.5 40 60 (a) Compute the expected value and the variance for x and y. E(x) = E(y) = Var(x) = Var(y) = (b) Develop a probability distribution for x + y. x + y f(x + y) 130 80 100 (c) Using the result of part (b), compute E(x + y) and Var(x + y). E(x...
Consider the following. (A computer algebra system is recommended. Round your answers to four decimal places.) y' = 3 cos t − 6y, y(0) = 0 Please solve all parts of d) the equation and the evaluation of y(0.1)~y(0.4) Consider the following. (A computer algebra system is recommended. Round your answers to four decimal places.) y 3 cos t - 6y, y(0)0 (a) Find approximate values of the solution of the given initial value problem at t 0.1, 0.2, 0.3,...
5. Given below are the probability distribution of two assets-X and Y States of Economy Probability MEGA BOOM BOOM NORMAL BUST MEGA BUST 0.1 0.2 0.4 Expected returns of the 2 assets (%) - X Y 50 100 40 70 30 50 10 -20 -10 -50 0.2 0.1 Which one has higher stand-alone risk? (Compute Coefficient of Variation]
Given below is a bivariate distribution for the random variables x and y. f(x,y) x y 0.1 90 70 0.5 20 30 0.3 40 60 a. Compute the expected value and the variance for x and y. b. Develop a probability distribution for x + y. c. Using the result of part (b), compute E(x+y) and Var (x+y). d. Compute the covariance and correlation for x and y. Are x and y positively related, negatively related or unrelated? e. Is...
Stocks X and Y have the following probability distributions of expected future returns: Probability X Y 0.1 -10.0% -35.0% 0.2 2.0% 0.0% 0.4 12.0% 20.0% 0.2 20.0% 25.0% 0.1 34.0% 45.0% Calculate the expected rate of return,� , for Stock X A. 12.20 B. 11.20 C. 12.00 D. 11.60
Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. Distribution A: xi Distribution A: P(X=xi) Distribution B: xi Distribution B: P(X=xi) 0 0.02 0 0.49 1 0.09 1 0.24 2 0.16 2 0.16 3...
(20 points) Consider the following joint distribution of X and Y ㄨㄧㄚ 0 0.1 0.2 1 0.3 0.4 (a) Find the marginal distributions of X and Y. (i.e., Px(x) and Py()) (b) Find the conditional distribution of X given Y-0. (i.e., Pxjy (xY-0)) (c) Compute EXIY-01 and Var(X)Y = 0). (d) Find the covariance between X and Y. (i.e., Cov(X, Y)) (e) Are X and Y independent? Justify your answer. (20 points) Consider the following joint distribution of X and...
Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B. Distribution A Distribution B x Subscript ixi P(Xequals=x Subscript ixi ) x Subscript ixi P(Xequals=x Subscript ixi ) 0 0.480.48 0 0.050.05 1 0.240.24 1...
Stocks X and Y have the following probability distributions of expected future returns: Probability 0.1 0.2 0.4 0.2 0.1 (10%) 2 12 20 48 (35%) 0 20 25 What are the expected returns of both X and Y? O 12% and 15% 13% and 14% 13% and 16% 13% and 15% 12% and 14%
atable tr te vales of Х,, yl, y(x).and y, _ y(x)for the furetion given below, for 0sxs1. wth h . 0.2 dy 0.2 0.4 0.6 0.8 1.0 (Round to five decimal places as atable tr te vales of Х,, yl, y(x).and y, _ y(x)for the furetion given below, for 0sxs1. wth h . 0.2 dy 0.2 0.4 0.6 0.8 1.0 (Round to five decimal places as