IfthejointPMFofXandY isgivenbyfX,Y(x,y)=((x−y)^2)/7 for x=1,2 and y=1,2,3, (a) thejointPMFofU=XY,andV =X/Y. (b) the marginal distribution of U.

Question

Question

IfthejointPMFofXandY isgivenbyfX,Y(x,y)=((x−y)^2)/7 for x=1,2 and y=1,2,3,
1. (a) thejointPMFofU=XY,andV =X/Y.
2. (b) the marginal distribution of U.

math Statistics-And-Probability

Answer 1

Answer #1

2 o.33 05 o.67 0 The ˇ以 e.33 S 0.6

Answer 2

Similar Homework Help Questions

Solve by hand please Is 7a right? Suppose p(x,y)=x+2yxtar=1,2,3, and y=1,2 is the joint pmf of X and Y. 30 Par...

Solve by hand please Is 7a right? Suppose p(x,y)=x+2yxtar=1,2,3, and y=1,2 is the joint pmf of X and Y. 30 Part a: Create the contingency table for X and Y and fill in the marginal probabilities for each variable. Part b: Find the E[X], E[Y], and E[XY). Part c: Find the covariance of X and Y. Part d: Determine if X and Y are independent. My) =429 -+24 1,2,3 __421,2 f(x ) Mc Rica 08 Matlab)
Q(2) The joint probability distribution of X and Y is given by (2x-y)2 for x =...

Q(2) The joint probability distribution of X and Y is given by (2x-y)2 for x = 0, 1, 2 and y = 1,2,3 (Marks: 6,2,4) 30 f(x, y) = Find : (1) the joint probability distribution of U = 3X + Y and V = X - 2Y (11) the marginal distribution of U. (III) E (V)
1. If the joint probability distribution of X and Y is given by f(x, y) for...

1. If the joint probability distribution of X and Y is given by f(x, y) for = 1,2,3; y=0,1,2,3 · 42 2. Referring to Exercise 1, find (a) the marginal distribution of X; (b) the marginal distribution of Y. 3. Referring to Exercises 1 and 2, find (a) The expected value of XY. (b) The expected value of X. (c) The expected value of Y (d) The covariance of X and Y (COV(X, Y)). Round your final answer to 3...

We have the following joint PMF of X and Y: Pxy (x,y) ſa(x+3y) x =1,2,3; y...

We have the following joint PMF of X and Y: Pxy (x,y) ſa(x+3y) x =1,2,3; y =1,2 0 otherwise Find: 1. the value of a 2. the marginal PMFs of X and Y 3. if X and Y are independent
Let X be a uniform(0, 1) random variable and let Y be uniform(1,2) with X and...

Let X be a uniform(0, 1) random variable and let Y be uniform(1,2) with X and Y being independent. Let U = X/Y and V = X. (a) Find the joint distribution of U and V . (b) Find the marginal distributions of U.
Let X~N(1,2) and Y~N(3,2). Define the distribution of 2(X-Y).

Let X~N(1,2) and Y~N(3,2). Define the distribution of 2(X-Y).

7. (4 Points) Describe what the marginal rate of substitution of x for Y (MRSxy) to...

7. (4 Points) Describe what the marginal rate of substitution of x for Y (MRSxy) to us about a consumer's preferences between the two goods. 8 (4 Points) Suppose you have preferences over two goods, bottles of wine (good X) and slices of pizza (good Y). Explain what it means that for the bundle A = (3, 15), the MRSxy = 2. 9. For this question, use the utility function U(X,Y)= XY. (a) (2 Points) What is the marginal utility...
For U(x,y) -xy, MRS ▼ , while Uxx_ and Uyy This means that this utility function...

For U(x,y) -xy, MRS ▼ , while Uxx_ and Uyy This means that this utility function has MRS, while exhibiting marginal utility in x andy For U(x,y)-x2y2, MRS ▼ , while Uxx_ and Uyy This means that this utility function has MRS, while exhibiting marginal utility in x and y For U(x,y) = In x + In y, MRS- ,while Ux- and Uyy ▼ . This means that this utility function has MRS, while exhibiting marginal utility in x and...
1. Utility is given by U(x, y) = xy + 10y, with marginal utilities MU, =...

1. Utility is given by U(x, y) = xy + 10y, with marginal utilities MU, = y and MU, = x + 10. The price of r is Px and the price of y is Py. The consumer has income m. (a) Assume first that we have an interior solution. Solve for the demand for r. (b) Suppose now that m= 100. Since x must never be negative, what is the maximum price for good x for which this consumer...

7. (4 Points) Describe what the marginal rate of substitution of X for Y (MRSxy) telle...

7. (4 Points) Describe what the marginal rate of substitution of X for Y (MRSxy) telle us about a consumer's preferences between the two goods. 8. (4 Points) Suppose you have preferences over two goods, bottles of wine (good X) and slices of pizza (good Y). Explain what it means that for the bundle A = (3.15), the MRSxy = 2 9. For this question, use the utility function U(X,Y)= XY. (a) (2 Points) What is the marginal utility of...