A stationary random sequence X $[$n$]$ with mean X $=4$ and ACVS KX $[$l$]=$u$[$l $+3]$ u$[$l $4]$ is applied as an input to a linear time$-$invariant $($LTI$)$ system whose impulse response h$[$n$]$ is h$[$n$]=$ u$[$n$+4]$u$[$n$2]$ where u$[$n$]$ is a unit step sequence. The output of this system is another random sequence Y $[$n$].$

$($a$)$ DeterminethemeansequenceY$[$n$].$

$($b$)$ DeterminetheCCVSRXY$[$l$]$betweenX$[$n$+$l$]$andY$[$n$].$

$($c$)$ DeterminethesystemautocorrelationfunctionRh$[$l$]=$h$[$l$]$h$[$l$].($d$)$ DeterminetheACRSRY$[$l$]$oftheoutputY$[$n$].$