Lanang Café has a barista vending machine that takes a constant 48 seconds serving per cup of coffee. The café has determine during the weekend, customers expected to arrive for coffees every 10 minutes on average. Find each of the performance measures of this waiting line system for Lanang Café. a) What is the system utilization rate for the cafe? b) Probability that café will be busy when a customer request. c) The average number of customer waiting in line. d) The average time customers wait for a coffee. e) What is the customers average waiting time on arrival?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Help me answer question d & e. Thank you!
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