Whenever a certain experiment is performed either outcome ti or outcome h occurs and these 2 outcomes
Question:
Whenever a certain experiment is performed either outcome ti or outcome h occurs and these 2 outcomes arc equally likely. X and Y are 2 discrete random variables defined on S = {t 1 , t 2 } such that t 1 when occurs, X has the value 0 and Y has the value 3 whereas when t 2 occurs, X and Y both have the value 1. This gives the mean and variance of X as
while the mean and variance of Y arc E(Y)= 2 and V(Y)= 1 This information is summarized below. Are X and Y independent random variables?
A Yes
a. No
c. Cannot be determined
Discrete random variable X has E(X) = 5 and V(X) = 3. Discrete random variable Y has E(Y) = 2 and V(Y) =1. If X and Y arc independent random variables, and W = 2X - 4Y, find V (W).
A. -4
B. -2
c. 2
D. 10
Probability and Random Processes With Applications to Signal Processing and Communications
ISBN: 978-0123869814
2nd edition
Authors: Scott Miller, Donald Childers