Let X = number of email you receive in an hour. Assume that X follows the Poisson distribution with parameter λ = 5   1. What is the expected number of email you get in one hour?   2. What is the probability that you get exactly 3 emails in the next hour?   3. What is the probability that you get at least 3 emails in the next hour?

The number of forklift topples in an area follows a poisson-process with rate 3 accidents per week. Suppose that we observed one forklift topple in the first week. What is the probability that we will observe at most one forklift topples in the next 2 days?

Consider a Poisson distribution with an average of 4 customers per minute at the local grocery store. If X = the number of arrivals per minute:Find the probability of 8 customers or less arriving within a minute. Find the probability of more than 7 customers arriving within a minute.  Find the probability of 3 customers arriving within a minute.

A grocery store counts the number of customers who arrive during an hour. The average over a year is 21 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.)Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals.  Find the probability that at least two customers arrive in a particular 2 minute period. Round your answer to four decimals.