Suppose to have an time interval ( from 0 to 3600000 that is one hour in milliseconds). I have to generate entity with average 3 and I utilise an Exponential Distribution. The average is (3600000/3) that is how I wanna sample the distribution. If in a particular run I obtain 0 entity create is wrong or can be correct result? Anyone can help me?
It's not an error to get zero. With exponential interarrival times and a rate of 3 per hour, the number of occurrences in an hour has a Poisson distribution with λ=3. The probability of getting n outcomes is
e-λλn/n!
which for n=0 is just under 0.05. In other words, you would see a zero roughly one out of every 20 times.