Organisms are present in ballast water discharged from a ship according to a Poisson process with an average concentration of 10 organisms/m3. (a) Suppose a sample of 1.5 m of discharge is taken, and let X be the number of organisms in this sample. What is E[X]? (b) What is the probability that X is less than its mean value by more than one standard deviation? (c) For what amount of discharge would the probability of containing at least 1 organism be .999?