5.47 Bacteria in Water Samples If a drop of water is placed on a slide and examined under a micro- scope, the number X of a particular type of bacteria present has been found to have a Poisson probability distribution. Suppose the maximum permissible count per water specimen for this type of bacteria is five. If the mean count for your water supply is two and you test a single specimen, is it likely that the count will exceed the maximum permissible count? Explain.