Five administrative assistants use an office copy machine. The average time between arrivals for each assistant is $40$ minutes, which is equivalent to an arrival rate of $1/4050\mathrm{.}025$ arrivals per minute. The mean time each assistant spends at the copy machine is $5$ minutes, which is equivalent to a service rate of $1/550\mathrm{.}20$ per minute. Use the M$/$M$/1$ model with a finite calling population to determine the follow$-$ing operating characteristics. LO $8$a$.$The probability that the copy machine is idleb.The average number of administrative assistants in the waiting linec.The average number of administrative assistants at the copy machined.The average time an assistant spends waiting for the copy machinee.The average time an assistant spends at the copy machinef.During an $8-$hour day, how many minutes does an assistant spend at the copy machine? How much of this time is waiting time?