Patients with Infections Are Randomly Selected and the Number of Distinct

Multiple Choice

Patients with infections are randomly selected and the number of distinct species belonging to the Spirochaete phylum (responsible for illnesses such as Lyme disease and syphilis) 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 fewer than three distinct species?

A) 0.0022
B) 0.9978
C) 0.9999
D) 1.0000