If arrivals follow a Poisson distribution with mean 1.2 arrivals per minute,find the 75th percentile of waiting times until the next arrival (i.e. ,75 percent below).
A)1.155 minutes (69.3 seconds)
B)0.240 minute (14.4 seconds)
C)1.919 minutes (115.1 seconds)

Question

Quizplus · Accepted Answer

The waiting time for a Poisson process follows an exponential distribution. The 75th percentile can be found using the inverse of the exponential CDF: -ln(1-0.75)/1.2 = 1.155 minutes.

If Arrivals Follow a Poisson Distribution with Mean 1