Question:
Denote a discrete random process $X[n]$ be generated by repeated tosses of a fair die. Let the values of the random process be equal to the result of each toss
Thinking:
Now i know the pmf of $X[n]$ is $\frac{1}{6}$ for $x=1$~$6$,and $E[X]$ should be $(1+2+3+4+5+6)\frac{1}{6}$,but i don't know how to calculate the autocorrelation according the definition,that is,$E[X(t+\tau)X(t)]$,the $X(t+\tau)$ should be the same as X(t),so is the autocorrelation become $E[\frac{1}{6} \times \frac{1}{6}]$?it looks strange.