Consider two rvs Xand Ywith joint pdf f(x,y)-k-y, 0<y<x 1 Find the value of the pdf of U=X+ Y evaluated at u = 0.8. Hence, or otherwise, estimate P(0.8<XY<0.801) Consider two rvs Xan...

Question

Question

Consider two rvs Xand Ywith joint pdf f(x,y)-k-y, 0<y<x 1 Find the value of the pdf of U=X+ Y evaluated at u = 0.8. Hence, or otherwise, estimate P(0.8<XY<0.801)

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

る 10) JO k 1 3 6lo 2 to l o 6 0 6 k-U十0.7417 = 4.0417- с З.au17

Add a comment

Answer 2

Similar Homework Help Questions

Problem 5 20 marks total 0 < y < x2 < Consider two rvs X and Y with joint pdf f(x,y) = k-y, Sketch the region in two dimensions whereAx.y is positive. Then find the constant k and sketch /fx...

Problem 5 20 marks total 0 < y < x2 < Consider two rvs X and Y with joint pdf f(x,y) = k-y, Sketch the region in two dimensions whereAx.y is positive. Then find the constant k and sketch /fx.y) in three dimensions. I4 marksl (a) Find and sketch the marginal pdf/(x), the conditional pdf ffr11/2), and the conditional cdf F11/2) (b) 4 marks] Find P(XcYlY> 1/2), E(XIY=1/2) and E(XlY>1/ 2). /4 marks/ (c) (d) What is the correlation between...
0 〈 y 〈 x2く1· Consider two rvs X and Y with joint pdf f(x,y) = k-y, (a) Sketch the region in two dimensions where fx,y) is positive. Then find the constant k and sketch ) in three imesions Then fi...

0 〈 y 〈 x2く1· Consider two rvs X and Y with joint pdf f(x,y) = k-y, (a) Sketch the region in two dimensions where fx,y) is positive. Then find the constant k and sketch ) in three imesions Then find the constant k and sketch f(r.y) in three dimensions (b) Find and sketch the marginal pdf fx), the conditional pdf(x1/2) and the conditional cdf FO11/2). Find P(X〈Y! Y〉 1/2), E(XİY=1/2) and E(XIY〉l/2). (c) What is the correlation between X...
Let X and Y be continuous rvs with a joint pdf of the form: ?k(x+y), if(x,y)∈?0≤y≤x≤1?...

Let X and Y be continuous rvs with a joint pdf of the form: ?k(x+y), if(x,y)∈?0≤y≤x≤1? f(x,y) = 0, otherwise (a) Find k. (b) Find the joint CDF F (x, y). 0, otherwise (c) Find the conditional pdfs f(x|y) and f(y|x) (d) Find P[2Y > X] (e) Find P[Y + 2X > 1]

7. Let RVs Yand Yhave the following joint pdf f(x,y)=L if 1 srs2,1Sys2 0, otherwise a)...

7. Let RVs Yand Yhave the following joint pdf f(x,y)=L if 1 srs2,1Sys2 0, otherwise a) Determine the value of k inf(x·y). Plotf(x, y). b) Determine and plot the marginal pdfs fx) and fy) c) Determine PX>1, Y <0 d) Determine the conditional pds, f(xy) and f() xly) arn
4. Two RVs with a joint pdf given as follows fx.x ), 0<x< 1,0 <y<1 otherwise...

4. Two RVs with a joint pdf given as follows fx.x ), 0<x< 1,0 <y<1 otherwise (a) Find fr ). (6 point) (b) Find fxy(x[y). (6 points) (c) Are X and Y independent? (clearly show justification for credit) (6 points)
(Sec 5.1) Suppose the joint pdf of two rvs X and Y is given by $15x2y...

(Sec 5.1) Suppose the joint pdf of two rvs X and Y is given by $15x2y for 0 < x sys1 f(x,y) = 10 otherwise (a) Verify that this is a valid pdf. (b) What is P(X+Y < 1)? (c) What is the probability that X is greater than .7? (Hint: it might help to find the marginal pdf first)

(C\x + y| х % - 2,0,2 y =1,0,1 otherwise 3. Xand Y are two RVs...

(C\x + y| х % - 2,0,2 y =1,0,1 otherwise 3. Xand Y are two RVs whose joint PMF are given on the right: -17 Рxr(x, у) %3D What is the value of constant C ? а. b. What is P [X> Y] ? What is P [Ys 0]? d. For a new RV W=2X+Y, What is the PMF P/(w)? е. P[W>1] с.
The joint pdf of two continuous RVs X and Y is given by (4e-22–24 0 <...

The joint pdf of two continuous RVs X and Y is given by (4e-22–24 0 < x,y< f(x, y) = { otherwise Then cov(X,Y) equals Hint – Think of the exponent identity eath = eeb and how this can be used to factorize or simplify joint pdf. OO 0.28 0 -0.46 O 0.83 1
1. Consider two random variables X and Y with joint density function f(x, y)-(12xy(1-y) 0<x<1,0<p<1 otherwise...

1. Consider two random variables X and Y with joint density function f(x, y)-(12xy(1-y) 0<x<1,0<p<1 otherwise 0 Find the probability density function for UXY2. (Choose a suitable dummy transformation V) 2. Suppose X and Y are two continuous random variables with joint density 0<x<I, 0 < y < 1 otherwise (a) Find the joint density of U X2 and V XY. Be sure to determine and sketch the support of (U.V). (b) Find the marginal density of U. (c) Find...

please show steps Q.8 Let X and Y be continuous rvs with the joint pdf f(x,...

please show steps Q.8 Let X and Y be continuous rvs with the joint pdf f(x, y) = (3/2)xy, for 0 < x, 0 < y, 0 < x + y < 2 and 0 otherwise. (a) Find E[X + Y ] and E[X − Y ] (b) Find E[XY ] (c) Find E[Y |X = x] and E[X|Y = y]. (d) Find Cov[X, Y ]

Consider two rvs Xand Ywith joint pdf f(x,y)-k-y, 0<y<x 1 Find the value of the pdf of U=X+ Y evaluated at u = 0.8. Hence, or otherwise, estimate P(0.8<XY<0.801) Consider two rvs Xan...

Homework Answers

Add Answer to:
Consider two rvs Xand Ywith joint pdf f(x,y)-k-y, 0<y<x 1 Find the value of the pdf of U=X+ Y evaluated at u = 0.8. Hence, or otherwise, estimate P(0.8<XY<0.801) Consider two rvs Xan...

Post as a guest

Earn Coins

Problem 5 20 marks total 0 < y < x2 < Consider two rvs X and Y with joint pdf f(x,y) = k-y, Sketch the region in two dimensions whereAx.y is positive. Then find the constant k and sketch /fx...

0 〈 y 〈 x2く1· Consider two rvs X and Y with joint pdf f(x,y) = k-y, (a) Sketch the region in two dimensions where fx,y) is positive. Then find the constant k and sketch ) in three imesions Then fi...

Let X and Y be continuous rvs with a joint pdf of the form: ?k(x+y), if(x,y)∈?0≤y≤x≤1?...

7. Let RVs Yand Yhave the following joint pdf f(x,y)=L if 1 srs2,1Sys2 0, otherwise a)...

4. Two RVs with a joint pdf given as follows fx.x ), 0<x< 1,0 <y<1 otherwise...

(Sec 5.1) Suppose the joint pdf of two rvs X and Y is given by $15x2y...

(C\x + y| х % - 2,0,2 y =1,0,1 otherwise 3. Xand Y are two RVs...

The joint pdf of two continuous RVs X and Y is given by (4e-22–24 0 <...

1. Consider two random variables X and Y with joint density function f(x, y)-(12xy(1-y) 0<x<1,0<p<1 otherwise...

please show steps Q.8 Let X and Y be continuous rvs with the joint pdf f(x,...

Consider two rvs Xand Ywith joint pdf f(x,y)-k-y, 0<y<x 1 Find the value of the pdf of U=X+ Y evaluated at u = 0.8. Hence, or otherwise, estimate P(0.8<XY<0.801) Consider two rvs Xan...

Homework Answers

Add Answer to: Consider two rvs Xand Ywith joint pdf f(x,y)-k-y, 0<y<x 1 Find the value of the pdf of U=X+ Y evaluated at u = 0.8. Hence, or otherwise, estimate P(0.8<XY<0.801) Consider two rvs Xan...

Post as a guest

Earn Coins

Add Answer to:
Consider two rvs Xand Ywith joint pdf f(x,y)-k-y, 0<y<x 1 Find the value of the pdf of U=X+ Y evaluated at u = 0.8. Hence, or otherwise, estimate P(0.8<XY<0.801) Consider two rvs Xan...