Find probability that no cars are in the system

Assignment Help Basic Statistics

Reference no: EM131930288

Question: From historical data, Harry's Car Wash estimates that dirty cars arrive at a rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at a rate of one every five minutes. One car at a time is cleaned in this example of a single-server waiting line. Assuming Poisson arrivals and exponential service times, find the

(a) average number of cars in line

(b) average time a car waits before it is washed

(d) utilization rate of the car wash

(e) probability that no cars are in the system

Reference no: EM131930288

Questions Cloud

What is the probability that the system is empty : An agent in a train station sells tickets and provides information to travelers. An average of two travelers approach the agent for assistance each minute.

How fast does the computer have to process jobs : A computer processes jobs on a first-come, first served basis in a time-sharing environment. The jobs have Poisson arrival rates.

What percentage of the time is the ticket window busy : Find the average number of patrons waiting in line to purchase tickets. What percentage of the time is the ticket window busy?

Find the utilization rate of the service system : Rockwell Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of l = 3 per day (approximately Poisson in nature)

Find probability that no cars are in the system : From historical data, Harry's Car Wash estimates that dirty cars arrive at a rate of 10 per hour all day Saturday. With a crew working the wash line.

Determine the optimal number of clerks to have on duty : Using the information provided, determine the optimal number of clerks to have on duty each Saturday to minimize the store's total expected cost.

What is risk and risk taking in finance : What is Risk and Risk Taking in Finance? Explain in needed details.

What are the components of the given systems : Provide examples of four situations in which there is a limited, or finite, waiting line. What are the components of the following systems?

What is a queuing problem : What is a queuing problem? What are the components in a queuing system? What are the assumptions underlying common queuing models?

User Account

All Pages