In front of terminal c at the chicago airport is an area where hotel shuttlevans park. customers arrive at times of a poisson process with rate 10 perhour looking for transportation to the hilton hotel nearby. when7peopleare in the van it leaves for the36minute round trip to the hotel. customerswho arrive when the van is gone go to some other hotel instead.(a) what fraction of the customers actually go to the hilton?(b) what is the average amount of time that a person who actually goes tothe hilton ends up waiting in the van?