Let assume 6 balls, 3 white, 2 black and 1 red. Random experiment is selection of three balls with replacement. R.v. X denoted number of different colours of balls and r.v. Y denotes number of black balls. Let assume K-k(X,Y)=X-Y and L=1(X,Y)=XY

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
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Exercise 2
O Let assume 6 balls, 3 white, 2 black and 1 red. Random
experiment is selection of three balls with replacement. R.v. X
denoted number of different colours of balls and r.v. Y denotes
number of black balls. Let assume K-k(X,Y)=X-Y and
L=1(X,Y)=XY
OA) Compute joint pmf of r.v.s K and L
OB) Are K and L independent? Why?
Transcribed Image Text:Exercise 2 O Let assume 6 balls, 3 white, 2 black and 1 red. Random experiment is selection of three balls with replacement. R.v. X denoted number of different colours of balls and r.v. Y denotes number of black balls. Let assume K-k(X,Y)=X-Y and L=1(X,Y)=XY OA) Compute joint pmf of r.v.s K and L OB) Are K and L independent? Why?
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