I’m told the mean rate of arrivals in a facility is 10 per minute.
I’m asked to find the probability that more than 2 arrivals occur within 10 seconds.
I know that $P(>2$ arrivals$)$$ = 1-P(<=2$ arrivals$)$ but since the interval is 10 seconds and not 60 I’m a bit confused.
If they asked what the probability of more than 2 arrivals in 60 seconds was I could just use the Poisson table.
In order to answer this question do I just convert my mean rate? So instead of 10 per minute it could be $10/6$ arrivals per 10 seconds and then use the poisson table?
I’m just a bit confused on what to do when the mean rate is given as ‘per minute’ and the question is only looking at a 10 second interval.
I hope I’ve explained it well enough, any help would be appreciated.