Suppose in a pharmacy there are two cashiers. The service time of the cashier1 follows a exponential distribution with λ1 and the service time of the cashier2 follows a exponential distribution with λ2 parameter.
Mr. Marcius is being attended in cashier 1 and Mr. Helge is being attended in cashier2.
Mr. Peter is in Queue and will be the next to be attended.
Only have these three people in the pharmacy.
a) If λ1=λ2, what is the probability that Mr. Peter will be the last of the 3 to have your service completed?
b) If λ1≠λ2, what is the probability that Mr. Peter will be the last of the 3 to have your service completed?
statistics poisson-process stationary-processes
Mr. Marcius is being attended in cashier 1 and Mr. Helge is being attended in cashier2.
Mr. Peter is in Queue and will be the next to be attended.
Only have these three people in the pharmacy.
a) If λ1=λ2, what is the probability that Mr. Peter will be the last of the 3 to have your service completed?
b) If λ1≠λ2, what is the probability that Mr. Peter will be the last of the 3 to have your service completed?
statistics poisson-process stationary-processes