the company's central computer system allows three users $to$ access the central computer simultaneously. Agents who attempt $to$ use the system when $itis$ full are denied access; $no$ waiting $is$ allowed.

distribution, with a mean $of38$ calls per hour. The service rate per line $is23$ calls per hour.

$(a)$ What $is$ the probability that $0,1,2,$ and $3$ access lines will $bein$ use? $(Round$ your answers $to$ four decimal places.$)$

$P(0)=$

$P(1)=$

$P(2)=$

$P(3)=$

$(b)$ What $is$ the probability that $an$ agent will $be$ denied access $to$ the system? $(Round$ your answers $to$ four decimal places.$)$

$P_k=$

$(c)$ What $is$ the average number $of$ access lines $in$ use? $(Round$ your answers $to$ two decimal places.$)$

access lines should this system have?