A road transport company has one reservation clerk on duty at a time. He handles information of bus schedules and makes reservations. Customers arrive at a rate of 8 per hour and the clerk can, on average service 12 customers per hour. Find (a) Average no. of customers waiting for the service of the clerk.
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.
A road transport company has one reservation clerk on duty at a time. He handles information of bus schedules and makes reservations. Customers arrive at a rate of 8 per hour and the clerk can, on average service 12 customers per hour. Find
(a) Average no. of customers waiting for the service of the clerk.
(b) Average time a customer has to wait before being served.
(c) The management is contemplating to install a computer for handling information and reservation. This is expected to reduce service time from 5 to 3minutes. The additional cost of the system works out to Rs 50 per day. If the cost of goodwill of having to wait is 12 paise per minute spent waiting, before being served, Should the company install the computer? Assume 8hours working day.
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