Question

In: Statistics and Probability

x y fxy(x,y) -1 -2 1/8 -0.5 -1 1/4 0.5 1 1/2 1 2 1/8 Show...

x

y

fxy(x,y)

-1

-2

1/8

-0.5

-1

1/4

0.5

1

1/2

1

2

1/8

  1. Show that the function above satisfies the probabilities of a joint probability mass function.
  2. Find E(X), E(Y), V(X), V(Y)
  3. Find marginal probability distribution of X
  4. Find the covariance and correlation.

Solutions

Expert Solution


Related Solutions

Suppose f(x,y)=(1/8)(6-x-y) for 0<x<2 and 2<y<4. a. Find p(Y<3|X=1) b. Find p(Y<3|0.5<X<1)
Suppose f(x,y)=(1/8)(6-x-y) for 0<x<2 and 2<y<4. a. Find p(Y<3|X=1) b. Find p(Y<3|0.5<X<1)
a) Calculate the maximum MaxDisk value of the function f (x,y) = 9 ln * (x^2+(1+1)y^2+(0.5+0.5))...
a) Calculate the maximum MaxDisk value of the function f (x,y) = 9 ln * (x^2+(1+1)y^2+(0.5+0.5)) on the circle disk with the center of origin and radius 4. b) Also calculate the maximum the value MaxBorder that the function assumes on the border.
An individual's utility function is U= (X+1)0.5 (Y+2)0.5
An individual's utility function isU= (X+1)0.5 (Y+2)0.5(a) By implicit differentiation, find the slope of any indifference curve and show that it is given by the ratio of marginal utilities of the two goods.(b) Find the indifference curve for U= 6 and show that it is negatively sloped and convex. Does the indifference curve cut the axes? What does this imply about this individual's tastes?
Show that the cylinder x 2 + y 2 = 4 and the sphere x 2...
Show that the cylinder x 2 + y 2 = 4 and the sphere x 2 + y 2 + z 2 − 8y − 6z + 21 = 0 are tangent at the point (0, 2, 3). That is, show that the cylinder and sphere intersect at that point, and that they share the same tangent plane at that point.
Q.  Show that the ellipse x^2/4+ y^2/9= 1 in R2 is connected, and show that the function...
Q.  Show that the ellipse x^2/4+ y^2/9= 1 in R2 is connected, and show that the function f(x, y) = 3 x^3− 5y^3 − 4 has a zero on the above ellipse.
Suppose f(x,y)=(1/8)(6-x-y) for 0<x<2 and 2<y<4. If all else is the same, then why can’t x...
Suppose f(x,y)=(1/8)(6-x-y) for 0<x<2 and 2<y<4. If all else is the same, then why can’t x be defined on the range [0,3]? Find p(0.5 < X < 1, 2 < Y < 3) Find fX(x) and fY(y) Are X and Y independent? Why or why not? Find p(0.5 < X < 1) and p(2 < Y < 3) Find p(Y<3|X=1) Find p(Y<3|0.5<X<1)
Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0 find the x- and y-...
Hyperbolas 4(y - 1)^2 - (x + 4)^2 - 36 =0 find the x- and y- intercepts. label on graph state the domain and range
y^ = 0.9 - 0.3x x: 2 5 1 4 y: 1 2 1    -4...
y^ = 0.9 - 0.3x x: 2 5 1 4 y: 1 2 1    -4 a. Compute the three sums of​ squares, SST,​ SSR, and​ SSE, using the defining formulas. SST SSR SSE b. Verify the regression​ identity, SST​ = SSR​ + SSE. Is this statement​ correct? c. Determine the value of r squared ​(Round to four decimal places.) d. Determine the percentage of variation in the observed values of the response variable that is explained by the regression....
1: Utility U(x, y) = x^0.5 y^0.5 is given by Income I = 1000. Price of...
1: Utility U(x, y) = x^0.5 y^0.5 is given by Income I = 1000. Price of x is px =10 and price of y is py = 20 1 The price of x increases from p0x = 10 to p1x = 20. Calculate the 1. New Demand for x and y 3 Obtain the demand for x and y at income I1 and NEW prices p1x = 20, py =20 4 Obtain the substitution and income effect 5 What is...
Determine the​ vertex, focus, and directrix for the following parabola. A. y=4(x+2)^2-21 B. y-7=1/8(x-3)^2 C. x=1/4y^2
Determine the​ vertex, focus, and directrix for the following parabola. A. y=4(x+2)^2-21 B. y-7=1/8(x-3)^2 C. x=1/4y^2
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT