Mark’s Auto Center employs a single mechanic for transmission repair. It takes that person an average of 2.5 hours (exponential) to fix a transmission. There are an average of 2.1 people who bring in their cars for transmission jobs each 8-hour day.
a. Calculate the average number of transmissions that are waiting to be fixed. (Round your answer to 2 decimal places.)
Number of customers ______________
b. What is the utilization? (Round to integer)
System utilization _______________ %
c. Calculate the amount of time during an eight-hour day that the transmission specialist is idle . (Round your answer to 2 decimal places.)
Amount of time _________________ hours
d. Calculate the probability that there are two or more cars being worked on AND waiting for transmission repair. (Do not round intermediate calculations. Round your answer to 4 decimal places.)
Probability ______________