$1)$ Consider the following pseudo code:

Function Test $($ x $,$ y$,$ z $)\{$ read $($ x $)$ ; if x $<10$ then $\{$ y $=$ x $*$ y; z $=$ y$*$z ;$\}$

else if x $<50$ then $\{$ y $=$ x $*$ y ; $\}$

else $\{$ y $=$ x $*$ z ; z $=$ x $*$y; x $=$ z $*$ y; $\}$

$\}$

Main $()\{$ read $($n$)$;

for i $=1$ to n do $\{$

Test$($x$,$ y$,$ z$)$

Print$($x$,$ y$,$ z$)\}$

$\}$

Suppose that x is a random variable where the probabilities of

x $<10,10<=$ x $<50,50<=$ x are $0\mathrm{.}35,0\mathrm{.}4$ and $0\mathrm{.}25$ respectively.

$-$ How many multiplications are done in the worst$-$case, average$-$case $($expected

case$)$ and best$-$case $($all expressed as a function of n$)?$

$-$ How many prints?