Question

6. Suppose X and Y have the joint pdf fr,y) = 2 exp(-:- 0 ) 0< <y otherwise o a. Find Px.x, the correlation coefficient betwe

0 0
Add a comment Improve this question Transcribed image text
Answer #1

solution::

© Solution - - Given that, Suppose X and Y have the goint pdf f(x,y) = $ a exp(-x-4) 0<x+y 1 0 otherwise. @ fx (x) = aeopl-zyE [x] = à os xn exp (mean = ) E[N] = va * (-e-M) ay = a yetu dy-a I yeny dy =ar (+1-(aybe *y dy = af (a)- 41 56da = 3-4() = agdy = dy] =Qq yeddy - afy (94Det dy = 81cm -a ſ te*1 by - 364e day = arc)-19) 204 -- [4*899 dy [Toksing oy=2, = a[ca) -> pob = Var(y) = E[72] – [y] E[v+] = f ve ae Y -ety dy => [t* r *dy - af yte84 dy = ar 6) - 2. = axa - = 4-Y = Liu Vam y) =- 1 CCovlax-1, Y+ a) = 2 Cov (x,y)+ 0+0+0 ☺ [ cov blw Riv. and constants are o] = 2 x 5 = = cov (u,v) scov (ax-1,8+2) = Coulu.v) == -TIT Cor (x,y) +o cov (v.v) = -TUT Van (0) = van (–1T x) = 4veyvan(x) = IT Vor (v) = van (Ty + loa) = VonCY) = sq? Hence, v© E[W]= E[y-x] = E[y]- E[x] = Ž - de E(w) = 2 Assuming Was a normal random Variable, we have, the CI with probability atleast

Please give a positive rating for this solution,THANK YOU...

Add a comment
Know the answer?
Add Answer to:
6. Suppose X and Y have the joint pdf fr,y) = 2 exp(-:- 0 ) 0<...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT