# Flies arrive through holes in my porch screen at the rate of 126 per hour. I can kill flies at a rat

Flies arrive through holes in my porch screen at the rate of 126 per hour. I can kill flies at a rate of 150 per hour. Both the arrival of flies and my swatting them dead are Poisson processes. In case you’re wondering, I always swat them dead in the order in which they arrived. a. How many flies do you expect to be on the porch at any time? b. How many of those flies do you expect to be waiting to get swatted dead? c. How long can a fly expect to stay alive on the porch before I swat it dead? d. What percentage of time do I expect to be swatting? e. What percentage of the time can I expect to rest, i.e., not swatting flies? f. What’s the probability that the total number of flies on the porch (being swatted or waiting to be swatted) will be more than I expect?