$3-128.$ When network cards are communicating, bits can

occasionally be corrupted in transmission. Engineers have de$-$

termined that the number of bits in error follows a Poisson dis$-$

tribution with mean of $3\mathrm{.}2$ bits$/$kb $($per kilobyte$).$

$($a$)$ What is the probability of $5$ bits being in error during the

transmission of $1$ kb$?$

$($b$)$ What is the probability of $8$ bits being in error during the

transmission of $2$ kb$?$

$($c$)$ What is the probability of no error bits in $3$ kb$?$