Average number of customers in the shop

Assignment Help Basic Statistics

Reference no: EM131005651

A small barbershop, operated by a single barber, has room for at most two cus- tomers. Potential customers arrive at a Poisson rate of three per hour, and the successive service times are independent exponential random variables with mean
4 hour.

(a) What is the average number of customers in the shop?

(b) What is the proportion of potential customers that enter the shop?

Reference no: EM131005651

Questions Cloud

Difference between a first best and a second best solution : You have been hired by a regional government to recommed a pricing model for water use for farms. Discuss the potential solutions and rank them in order from the best to the worse. (Make sure you consider the ease of implementation, efficiency, an..

Write a syntactically correct java program : Give an example from your daily life of some things that could be represented as an Array and how it could be used. Write a syntactically correct Java program to present your example: declarations, initializations and use

Multivariate techniques factor analysis : Multivariate techniques: factor analysis, multidimensional scaling, and cluster analysis.Write a summary of 1,500-3,000 words explaining to upper management the chosen multivariate technique (cluster analysis)How it is different from the other 2 tech..

Determine the final temperature : One compartment is evacuated, the other contains steam at 7.5 bar, 300 °C. The latches are removed and the gas expands to fill the entire volume of the cylinder. When the system reaches equilibrium, its pressure is 1 bar. Determine the final tempe..

Average number of customers in the shop : (a) What is the average number of customers in the shop? (b) What is the proportion of potential customers that enter the shop? (c) If the barber could work twice as fast, how much more business would he do?

Four-state continuous-time markov chain : De?ne a four-state continuous-time Markov chain that jointly describes the condition of the two machines. Use the assumed independence to compute the transition probabilities for this chain and then verify that these transition probabilities satis..

Why would you like to work for schlumberger : More than 40 years ago, Schlumberger adopted an aggressive and innovative human resource strategy that is based on diversity and partnerships with colleges and universities

Determine the appropriate parameters for model : De?ne an appropriate continuous-time Markov chain for a population of such organisms and determine the appropriate parameters for this model.

Proportion of time is the system shut down : (a) What proportion of time is the system shut down? (b) What is the (limiting) averaging number of components that are being repaired?

User Account

All Pages