supervisor of a factory, Poisson distribution
Any help offered in solving the below question will be much appreciated.
The supervisor of a factory, on average, two complaints of poor service from its customers per week.
(i) Given; that the supervisor receives 3 complaints in a month, find the probability that he receives all of them in the first three weeks of the month. (Assume that there are 4 weeks in a month) ( .422)
(ii) Find the probability, that, in a random sample of six weeks, the supervisor receives no complaint in one week, one complaint each in three weeks and more than complaint in each of the remaining two weeks. (.0568)