Here is my dilemma:
A chain of stores is concerned about the number of complaints in regards to customer service. Historical data shows that the fraction of complaints is around .0040 a day. On one day it is estimated that about 5000 transactions occur throughout the chain (each transaction is subject to one complaint).
My first question,
1) Is this a poisson PDF?
2) What is the probability that there are no complaints?
3) How many complaints should we expect in one day?
4) Finally, what are the chances we receive more than 25 complaints today?
Any help would be greatly appreciated.