1. Consider a Fortune Teller tent at the Adelaide Show. Inside the tent there are two Tellers and 3 additional waiting spaces. Potential customers arrive as a Poisson process with rate 6 per hour. Ench reading lasts on average 15 minutes. • If customers arrive when the tent is full they leave and never come back; these customers are blocked. • If both tellers are occupied, but there is waiting space, customers elect to stay indepen- dently with probability 2/3, otherwise they do not wait and leave; these customers baulk. • Each customer is only willing to wait a certain time before walking out. 'These customers abandon. Assume the mean time before a waiting customer gives up and abandons is 10 minutes. In the following assume all times are exponentially distributed and that the system is in equi- librium.
1. Consider a Fortune Teller tent at the Adelaide Show. Inside the tent there are two Tellers and 3 additional waiting spaces. Potential customers arrive as a Poisson process with rate 6 per hour. Ench reading lasts on average 15 minutes. • If customers arrive when the tent is full they leave and never come back; these customers are blocked. • If both tellers are occupied, but there is waiting space, customers elect to stay indepen- dently with probability 2/3, otherwise they do not wait and leave; these customers baulk. • Each customer is only willing to wait a certain time before walking out. 'These customers abandon. Assume the mean time before a waiting customer gives up and abandons is 10 minutes. In the following assume all times are exponentially distributed and that the system is in equi- librium.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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