Given the FSM$,$ M $=($Q$,,$ q$0,$ A$,\backslash$delta $)$ with q$0=$ X$,$ A $=\{$X$,$ Y$\}$ and

$\backslash$delta :

q

$\backslash$delta $($q$,0)$

$\backslash$delta $($q$,1)$

X

$\{$X$\}$

$\{$X$,$ Y$\}$

Y

$\{$Z$\}$

$\backslash$phi

Z

$\backslash$phi

$\{$Z$\}$

Mark the correct statements below regarding this FSM$.$ Incorrect marks will reduce your grade.

$111000$ L$($M$)$

$\backslash$Lambda $$ L$($M$)$

$\backslash$delta $*($X$,111000)=\{$X$,$ Z$\}$

$111000$ L$($M$)$

$\backslash$delta $*($X$,001101)=$ X $+$ Y

$\backslash$delta $*($Y$,111000)=\backslash$phi

This is a non$-$deterministic FSM$.$

This is a deterministic FSM$.$