The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server. a. What is the average arrival time in minutes of customers? b. What is the average service time in minutes of the canteen? c. What is the probability that the canteen has a customer? d. What is the probability that the canteen does not have any customer? e. How long would the line be on average (average number of customers in the system)? f. How many people are waiting to be served on average? g. How long in minutes would it take the customer from lining up until he leaves the waiting line? h. How long in minutes would a customer wait to be served on average? i. Find the probability that there are 7 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.
The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the
canteen arrive at an average of 50 an hour. Suppose that management wants to
evaluate the desirability of opening a second order-processing station so that two
customers can be served simultaneously. Assume a single waiting line with the first
customer in line moving to the first available server.
a. What is the average arrival time in minutes of customers?
b. What is the average service time in minutes of the canteen?
c. What is the probability that the canteen has a customer?
d. What is the probability that the canteen does not have any customer?
e. How long would the line be on average (average number of customers in the
system)?
f. How many people are waiting to be served on average?
g. How long in minutes would it take the customer from lining up until he leaves the
waiting line?
h. How long in minutes would a customer wait to be served on average?
i. Find the probability that there are 7 customers in the system.
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