Consider a Poisson distribution with a mean of two occurrences per time period a Write the appropriate Poisson probability function f x b What is the expected number of occurrences in three time periods c Write the appropriate Poisson probability function to determine the probability of x occurrences in three time periods f x d Compute the probability of two occurrences in one time period Round your answer to four decimal places e Compute the probability of six occurrences in three time periods Round your answer to four decimal places f Compute the probability of four occurrences in two time periods Round your answer to four decimal places