For the next three questions, if computing the probabilities manually, carry four decimal digits in your calculations. Compute t
he probability of three occurrences in three time periods (to 4 decimals). Compute the probability of five occurrences in two time periods (to 4 decimals). Compute the probability of seven occurrences in one time period (to 4 decimals)
According to the given information, the Poisson distribution with a mean of two occurrences per time period, therefore Let us define be the random variable with poisson distribution with mean , then the probability mass function of the poisson