A sequence x$[$n$]=$sin$((\backslash$pi n$)/(2))$ is converted to analog signal x$\_($c$)($t$)$ by a$($ D$)/($C$)$ system. This

is used as input to continuous system described by h$\_($c$)($t$)=\backslash$delta $($t$-($T$)/(2))$ to yield output

y$\_($c$)($t$)$ that is converted to sequence y$[$n$]$ using a$($ C$)/($D$)$ system. Find y$[$n$]$ if

a$.$ T$=10$s$.$

b$.$ T$=5$s$.$