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Consider a real-valued random process
where 
and 
is a positive integer. Here, 
for 
and 0 otherwise. The coefficients 
are pairwise independent, zero-mean unit variance random variables.
Read the following statements about the random process and choose the correct option.
(i) The mean of the process 
is independent of time 
.
(ii) The autocorrelation function 
is independent of time for all 
.
(Here, 
is the expectation operation.)
(i) is TRUE and (ii) is FALSE
Both (i) and (ii) are TRUE
Both (i) and (ii) are FALSE
(i) is FALSE and (ii) is TRUE
are independent
Given: 
constant
(i) is correct
Auto correlation
We can’t comment on ACF of however looking at (as no time data given)
we solve 
dependence on is asked, lets fix 
for all z
as 
for 
to :
Clearly 
is a function
(ii) is false