(a) The joint probability mass function of random variables X and Y is given by : 7. 1 -2 12 12 42 /2 % (i) Find the marginal distributions of X and Y. (ii) Find E (X) and E (Y). (iii) Find Cove (X,V). (b) Consider M/M/1 queveing system with arriva rate a and service rate 2 and another t M/2 queveing system with arrival rate 1 a service rat a. Show that the average wait time in system M/M/1 is smaller than waiting time in M/M/2 system. (c) Define canonical correlation with suitai example. How canonical correlation is us to do optional scaling. 2.
(a) The joint probability mass function of random variables X and Y is given by : 7. 1 -2 12 12 42 /2 % (i) Find the marginal distributions of X and Y. (ii) Find E (X) and E (Y). (iii) Find Cove (X,V). (b) Consider M/M/1 queveing system with arriva rate a and service rate 2 and another t M/2 queveing system with arrival rate 1 a service rat a. Show that the average wait time in system M/M/1 is smaller than waiting time in M/M/2 system. (c) Define canonical correlation with suitai example. How canonical correlation is us to do optional scaling. 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve all subparts with all the steps explained.
Transcribed Image Text:(a) The joint probability mass function of random
variables X and Y is given by :
7.
1
2
-2
42 %2
/12 /2
/12
(i) Find the marginal distributions of X and Y.
(ii) Find E (X) and E (Y).
(iii) Find Cove (X,V).
(b) Consider M/M/1 queveing system with arriva
rate a and service rate 2 and another !
M/2 queveing system with arrival rate a a
service rat a. Show that the average wait
time in system M/M/1 is smaller than
waiting time in M/M/2 system.
(c) Define canonical correlation with suitai
example. How canonical correlation is us
to do optional scaling.
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