Reference no: EM132995511

To combat the spread of Covid- 19, a vaccination center is built. Patients are coming to the vaccination center at random, at an average of 4.2 patients per minute. Patients must join a line of the queue, waiting to be served by 5 counters, each with a service capacity of 1.1 patients per minute.

a) The probability of having more than 4 incoming patients in a minute.

b) The probability of having between 1 to 3 incoming patients in a minute.

c) The probability that the next patient will arrive later than 20 seconds.

d) The probability that the next patient will arrive within 15 seconds.

e) The probability of having no patients in the system. (whether in the queue or at the counters)

f) The average number of patients in the system.

g) The average amount of time a patient spends in the system.

h) The average number of patients waiting in the queue

Remark: The service capacity is also a variable, at an average of 1.1 patients per minute for each counter