Question $5(25$ points$)$ A small engine repair shop is run by two mechanics where people bring various typesof equipment for repair. The shop is willing to accept all equipment that customers bring in$.$ However, unfortunately, when the customers see the floor of the shop covered with waiting jobs, they goelsewhere for more prompt service. The shop floor can house a maximum of $2$ equipment, excludingthose being serviced. The customers arrive at the shop every $10$ minutes on the average, and it takesa mechanic an average of $20$ minutes to complete each job. Both the interarrival and service timesare exponential. Determine the following quantities in steady$-$state:a$.(20$ points$)$ Average number of idle mechanics.b$.(5$ points$)$ When there is one equipment in the line, what is the probability that a customerarrives before a job is completed?