Consider an espresso stand with a single barista. customers arrive at the stand at the rate of 28 per hour according to a poisson distribution. service times are exponentially distributed with a service rate of 35 customers per hour. the probability that the server is busy is:

The probability that the server is busy is P=0.56.

Step-by-step explanation:

We have a quieing theory problem with M/M/1

In queing theory, the probability of the server being busy can be expressed as:

being μ: the time between services and λ: the time between customers arrival.

Then we can calculate:

The probability that the server is busy is P=0.56.

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step-by-step explanation:

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column