An espresso stand has a single server. Customers arrive to the stand at the rate of 20 per hour according to a Poisson distribution. Service times are exponentially distributed with a mean service time of 2 minutes per customer. The service rate per hour for the espresso stand is

Step-by-step explanation:

Given that

Arrival rate ,λ = 20 per hour

Service rate ,μ = 2 min per customer

μ =3 customer per hour

The service rate ρ is given as follows

Now by putting the values in the above equation we get

Therefore the service rate will be 0.667

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.