I really need help on this, thank you in advance for your help, I appreciate it so much.

In a warehouse, accidents have been taking place at the rate of 2 every 3 months.

a) What probability distribution is most likely to model the number of accidents in a 3 month period (This is be selected from either the Binomial, Poisson or normal distribution)? Explain why you have made your choice and give any parameter(s) for the distribution.

b) Find the mean and standard deviation of the number of accidents per year

c) What is the percentage of months with no accidents?

d) If a month is chosen at random, find the probability of at least one accident.