Statistics- What is the number of cars waiting for service in the car wash system

Waiting Line (Queuing) Please show all formulas and work!You are planning a car wash to raise money for a local charity. Your charity is considering purchasing an automatic car wash system. You anticipate the cars arriving in a single line and being serviced by one team of washers. Based on historical data, you believe cars will continue to arrive every 20 minutes, and the team can wash a car in about 15 minutes. Assume that the arrival rates follow a Poisson distribution and the service rates are exponentially distributed.1. What is the number of cars waiting for service in the car wash system?2. What is the average time for the car to wait in the car wash system?3. What’s the average number of cars in the queue before the full service?4. What’s the average time for the car to wait in the queue before service?5. What the probability of none of the cars in the car wash system?

 

 

Lets Start Working

Plagiarism Free

We use anti-plagiarism software to ensure you get high-quality, unique papers. Besides, our writers have a zero plagiarism mentality

On Time Delivery

Your essay will be delivered strictly within the deadline.  If you have an urgent order, we can do it!

Money Back Guarantee

We offer warranty service, including free revisions, and a right to request a refund incase your expectations are not met!

THE BEST PAPER WRITER HELPER

Our Advantage

  • Say “NO” to plagiarism – FREE plagiarism report as an addition to your paper
  • The lowest prices that fit excellent quality
  • Authorship – you are the one who possesses the paper. We DO NOT re-sale or re-use any of them.

OUR PAPER WRITER HELPER GOODIES

Our Freebies

  • Free Cover Page
  • Free Revisions
  • Free Reference Page
  • Free 24/7 support

Pin It on Pinterest

Share This