A vending machine dispenses hot chocolate or coffee. Service time is 20 seconds per cup and is constant. Customers arrive at a mean rate of 63 per hour, and this rate is Poisson-distributed. a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customer b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average time minutes c. Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
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 vending machine dispenses hot chocolate or coffee. Service time is 20 seconds per cup and is constant. Customers arrive at a mean rate of 63 per hour, and this rate is Poisson-distributed.
a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.)
Average number of customer
b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Average time minutes
c. Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Average number customers
Given Information:
Arrival rate per hour
Service rate is calculated as:
customers per hour.
Then,
(a) To determine the average number of customers waiting in line:
Thsu, the average number of customers waiting in line is 0.09 customers.
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