If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 15 seconds, how many customers would you expect to see at the coffee urn (waiting and/or pouring coffee)

Explanation:

I suppose this question must have some distribution rate in order to find customers at coffee urn

A cafeteria has a coffee urn from which customers serve themselves; arrival at the urn follow a poisson distribution at the rate 3 per minutes. customer’s takes about 15 second to serve themselves; exponential distribution.

a) The number of customers will be

Ls= λ /μ -  λ

Where λ = Arrival rate=3/min, μ = Service rate=4/min

Ls = 3 customers would be expected  at the on the average at the coffee urn (waiting or Pouring coffee)

odd consecutive integers are odd integers that follow each other. they have a difference of 2 between every two numbers. if n is an odd integer, then n, n+2, n+4 and n+6 will be odd consecutive integers. the first number in the pattern is always the variable on its own or in this case, "n". examples.