(a) The number of houses sold by an estate agent follows a Poisson distribution, with a mean of 2 per week i Find the probability that in the next 4 weeks the estate agent sells exactly 3 houses (2 marks) Find the probability that in the next 4 weeks the estate agent sells more than 5 houses. (3 marks) DIT Find the probability that in the next 4 weeks the estate agent sells at most 4 houses. (3 marks) IV Find the probability that in the next 4 weeks the estate agent at least 2 houses (3 marks) v State three conditions must be satisfied in applying the Poisson probability distribution. (3 marks)