9. (Sec. 3.6) Pokemon are tion of 8 Pokemon/km2 present in tall grass according to a Poisson process with an average concentra (a) Suppose a sample of 3 km2 of tall grass is examined, and let X be the number of Pokemon 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? II (c) For what amount of tall grass would the probability of containing at least 1 Pokemon be .999?

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