3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,...

Question

Question

3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,1,2, ...,

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Solution: - From Given :- p(x=x, Vzy) = ((**9#k-1)} box belo. Po Polk P(x= - Pkpl (1-P1-P2}K Marginal distribution Box La) = Conditional distribution: Conditional prckabinity Hat Y=y quen the ply = y /x=XIe Ply=y, x=x) P(x=x) Ell-P2) a+1(+X) (a2+1) -

Add a comment

Answer 2

Similar Homework Help Questions

Let the joint pmf of X and Y be p(x, у) схуг, x-1,2,3, y-12. a) Find...

Let the joint pmf of X and Y be p(x, у) схуг, x-1,2,3, y-12. a) Find constant c that makes p(x, y) a valid joint pmf. c) Are X and Y independent? Justify d) Find P(X+Y> 3) and PCIX-YI # 1)
1) Let random variables X and Y have the joint PMF: otherwise a) Calculate the value...

1) Let random variables X and Y have the joint PMF: otherwise a) Calculate the value of c b) Specify the marginal PMFs Pr(x) and P- c) Calculate P[X +Y<0].
Suppose that X and Y have joint pmf px yx,y) fxy-/39 for x 1,2 and y...

Suppose that X and Y have joint pmf px yx,y) fxy-/39 for x 1,2 and y 2,3 0elsewhere). a) Determine the marginal pmfs px(x) and py(y) b) Determine the conditional pmf of px(xly). c) Are X and Y independent? Give a clear determination using probability formulas.

PROBLEM 1 Let the joint pdf of (X,Y) be f(x, y)= xe", 0<y<<< a. Compute P(X>Y)....

PROBLEM 1 Let the joint pdf of (X,Y) be f(x, y)= xe", 0<y<<< a. Compute P(X>Y). b. What is the conditional distribution of X given Y=y? Are X and Y independent? c. Find E(X|Y = y). d. Calculate cov(X,Y).
Table 1 Joint PMF of X and Y in Example 5.1 x=01 X=1 | 1 Fig....

Table 1 Joint PMF of X and Y in Example 5.1 x=01 X=1 | 1 Fig. 1 shows PXY()PXY( JointPMF ? 2 Fig. 1. Joint PMF of X and Y (Example 5.1). a. b. c. d. Find P(X-0,Y<1). Find the marginal PMFs of X and Y. Find P(Y-1X-0). Are X and Y independent?
5. Let the joint density of X and Y be fr(x,) = (x + y, fxy(x, y) = 0, 0<x< 1,0 <y <1 otherwise (a) Find th...

5. Let the joint density of X and Y be fr(x,) = (x + y, fxy(x, y) = 0, 0<x< 1,0 <y <1 otherwise (a) Find the marginal pdfs of X and Y. (b) Are X and Y independent? (c) Are X and Y correlated? (d) Find P(X + Y < 1).

Let X and Y be a random variable with joint PDF: { ay fxy (x, y)...

Let X and Y be a random variable with joint PDF: { ay fxy (x, y) x > 1,0 <y <1 0 otherwise x2, 1. What is a? 2. What is the conditional PDF fy\x(x|y) of Y given X = x? 3. What is the conditional expectation of Ygiven X? 4. What is the expected value of Y?
Is a joint density function? If yes, assume it is the joint density function of r.v.s X and Y , and comput...

Is a joint density function? If yes, assume it is the joint density function of r.v.s X and Y , and compute the marginal densities of X and Y . f(r,y) = { " 0 <y<<11 , otherwise
For f(x, y) = k(x2 + y2), 0<x< 1 and 0 <y<1 and 0 elsewhere: a)...

For f(x, y) = k(x2 + y2), 0<x< 1 and 0 <y<1 and 0 elsewhere: a) Find k. b) Are X and Y independent? c) Find P(X<0.5, Y>0.5), P( X = 0.5, Y>0.5).

1) Let X and Y have joint pdf: fxy(x,y) = kx(1 – x)y for 0 <...

1) Let X and Y have joint pdf: fxy(x,y) = kx(1 – x)y for 0 < x < 1,0 < y< 1 a) Find k. b) Find the joint cdf of X and Y. c) Find the marginal pdf of X and Y. d) Find P(Y < VX) and P(X<Y). e) Find the correlation E(XY) and the covariance COV(X,Y) of X and Y. f) Determine whether X and Y are independent, orthogonal or uncorrelated.

3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,...

Homework Answers

Add Answer to:
3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,...

Post as a guest

Earn Coins

Let the joint pmf of X and Y be p(x, у) схуг, x-1,2,3, y-12. a) Find...

1) Let random variables X and Y have the joint PMF: otherwise a) Calculate the value...

Suppose that X and Y have joint pmf px yx,y) fxy-/39 for x 1,2 and y...

PROBLEM 1 Let the joint pdf of (X,Y) be f(x, y)= xe", 0<y<<< a. Compute P(X>Y)....

Table 1 Joint PMF of X and Y in Example 5.1 x=01 X=1 | 1 Fig....

5. Let the joint density of X and Y be fr(x,) = (x + y, fxy(x, y) = 0, 0<x< 1,0 <y <1 otherwise (a) Find th...

Let X and Y be a random variable with joint PDF: { ay fxy (x, y)...

Is a joint density function? If yes, assume it is the joint density function of r.v.s X and Y , and comput...

For f(x, y) = k(x2 + y2), 0<x< 1 and 0 <y<1 and 0 elsewhere: a)...

1) Let X and Y have joint pdf: fxy(x,y) = kx(1 – x)y for 0 <...

3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,...

Homework Answers

Add Answer to: 3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,...

Post as a guest

Earn Coins

Add Answer to:
3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,...