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25. [Note: The result of the previous problem might be useful for part (e).] Suppose the occurrence of a rare disease in a certain population is known to follow a Poisson distribution, with an average of 2 2.3 cases per year. In a typical year, what is the probability that (a) no cases occur? (b) exactly one case occurs? (c) exactly two cases occur? (d) three or more cases occur? (e) Answer (a)-(d) for a typical rwo-year period. (Assume independence from year to year.) (t) Use the function dpois in R to redo (a), (b), and (c), and include the output as part of your submitted assignment, clearly showing agreement of your answers. (g) Use the function ppois in R to redo (d), and include the output as part of your submitted assignment, clearly showing agreement of your answer. Hi I’m struggling with 25.
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