I'm still confused about how to apply the Poisson Distribution, could you help me to explain how to solve the following problem?
A company department takes on average 2 new employees per year. New employees are taken independently at any time of the year.
1) In a given year, what is the probability that the department employs at least one new employee?
(I was thinking of X ~Pois(2), while P(X≥ 1), but don't know how to continue and reach the result :-( )
2) What is the probability that there are less than 3 new employees?
(was thinking of X ~Pois(2), while P(X ≤ 3) = fx(1) + fx (2) +fx(3), but again don't know how to continue :-( )
3) What is the probability that there are no new employees in two consecutive years?
(no clue with this one!)
Thank you so much for your help!