customers arrive at the lake gardens post office for buying stamps.the interarrival time is exponentially distributed with a mean of 2minutes. the time to process each customer is normally distributedwith a mean of 10 minutes and a standard deviation of 2minutes. a. make a time series plot of the number of customers waiting inline at the post office in a typical eight-hour day. b. how many postal clerks are needed at the counter so that thereare no more than 15 customers waiting in line?
Added by Victor B.
Step 1
Let's think step by step. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Rashmi Sinha and 59 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The Baytown Post Office has four stations for service. Customers line up in a single file for service on a FIFO basis. The mean arrival rate is 40 per hour, Poisson distributed, and the mean service time per server is five minutes, exponentially distributed. Compute the operating characteristics for this operation. Does the operation appear to be satisfactory in terms of: (a) postal workers' (servers') idle time; (b) customer waiting time and/or the number waiting for service; and (c) the percentage of the time a customer can walk in and get served without waiting at all?
Rashmi S.
During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. Find: (a) The average number of customers waiting for service if 5 clerks are used. (b) The minimum number of clerks needed to keep the average waiting time in the system to under 5 minutes. (c) If clerk cost is $40 per hour and customer waiting time represents a "cost" of $30 per hour, how many clerks can be justified on a cost basis? You must show your work.
Supreeta N.
Madhur L.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD