Eye Mistress Glasses is the leading eye-glass manufacturer in Dallas. Customers arrive to the check-in according to a Poisson Process at the rate of 40/hr. Presently, they have the following process for handling their patients. Patients check-in at the counter before they are redirected for an eye. The service rate at the check-in counter is 60 customers/hr and that of the eye is 45 customers/hr. After the eye is conducted, 75% of the customers go to the Eye-Glasses selection, where they make their selection of glasses; the remaining 25% go directly to the cashier. Customers who go to the eye glasses section also go to cashier immediately after they make choice of glasses. There are three customers service personnel at eye-glass selection and each of them can handle 15 customers/hr. Finally, the service rate of the cashier is 45 customers/hr. 1. What is the average time that an average customer spends in the system? 2. What is the average number of customers in the system?
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.
Eye Mistress Glasses is the leading eye-glass manufacturer in Dallas. Customers arrive to the check-in according to a Poisson Process at the rate of 40/hr. Presently, they have the following process for handling their patients. Patients check-in at the counter before they are redirected for an eye. The service rate at the check-in counter is 60 customers/hr and that of the eye is 45 customers/hr. After the eye is conducted, 75% of the customers go to the Eye-Glasses selection, where they make their selection of glasses; the remaining 25% go directly to the cashier. Customers who go to the eye glasses section also go to cashier immediately after they make choice of glasses. There are three customers service personnel at eye-glass selection and each of them can handle 15 customers/hr. Finally, the service rate of the cashier is 45 customers/hr.
1. What is the average time that an average customer spends in the system?
2. What is the average number of customers in the system?
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