Can I have a detailed, step-by-step explanation on obtaining the answer for the question 6? Thank you very much!
Can I have a detailed, step-by-step explanation on obtaining the answer for the question 6? Thank you very much!
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Can I have a detailed, step-by-step explanation on obtaining the answer for the question 6?
Thank you very much!
![5.
S(91 + 2y2) ;0 < y1 < 1
; otherwise
fyY2(Y1, Y2) =
Find the following.
(i) E (Y1|Y2 = )
(ii) V (Y1|Y2 = })
6. Let Y1 and Y, have a joint density function given by,
[ 3y1 ;0< y2 < yı <1
fr,Y,(y1, Y2) =
;otherwise
Find
(i) Find the marginal density function of Y1, Y2
(ii) Are Y1 and Y2 independent ?
(iii) Find E(Y1Y2).
(iv) Find E(Y1) and E(Y2).
(v) Find Cov(Y1,Y2).
(vi) Find V (Y1) and V(Y2)
(vii) Find the conditional density function of Y2 given Y1 = Y1
(viii) Find E(Y2|Y1 = y1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e8bcb0d-46db-4931-99e9-9b266face003%2F835b8b15-af81-472b-8209-70d262ea1ec2%2Fja3uem8_processed.png&w=3840&q=75)
Transcribed Image Text:5.
S(91 + 2y2) ;0 < y1 < 1
; otherwise
fyY2(Y1, Y2) =
Find the following.
(i) E (Y1|Y2 = )
(ii) V (Y1|Y2 = })
6. Let Y1 and Y, have a joint density function given by,
[ 3y1 ;0< y2 < yı <1
fr,Y,(y1, Y2) =
;otherwise
Find
(i) Find the marginal density function of Y1, Y2
(ii) Are Y1 and Y2 independent ?
(iii) Find E(Y1Y2).
(iv) Find E(Y1) and E(Y2).
(v) Find Cov(Y1,Y2).
(vi) Find V (Y1) and V(Y2)
(vii) Find the conditional density function of Y2 given Y1 = Y1
(viii) Find E(Y2|Y1 = y1).
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