A network administrator is installing a video conferencing module to a local area network $($LAN$)$ computer system. Of interest is the capacity of the LAN to handle users who attempt to call in for video conferencing during peak hours. Calls are blocked if the user finds all LAN lines are "busy." The capacity is directly related to the rate at which calls are blocked. Let $x$ equal the number of calls blocked during the peak hour video conferencing call time. The network administrator believes that $x$ has a Poisson distribution with mean $=5\mathrm{.}6.$ Complete parts a through $d.$

a$.$ Find the probability that fewer than $9$ calls are blocked during the peak hour.

Round to three decimal places as needed.$)$