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Patients are randomly selected and the number of distinct species belonging to the Spirochaete phylum (responsible...

Patients are randomly selected and the number of distinct species belonging to the Spirochaete phylum (responsible for illnesses such as Lyme disease and syphylis) are recorded. Let X count the number of distinct species found. It is speculated that X follows a Poisson distribution with a mean of 0.25. What is the probability of observing exactly two distinct species?

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