The Murphysboro airport has a single security check$-$in station that is manned by $2$ employ$-$ ees. If passengers arrive at a rate of $10$ per minute and if it takes an average of $13$ minutes to process each passenger,$$a$.$ Whatistheprobabilitythatacustomerwillhavetowaittobecheckedatsecurity? b$.$ Whatistheaveragelengthoftimethatacustomerisinthequeue? c$.$ Ofthosecustomerswhohavetowait,whatistheaveragelengthofthewait? d$.$ What is the average length of the queue at the security check$-$in$?$