Use the Poisson model to approximate the probability. Round your answer to four decimal places.
-Suppose the probability of contracting a certain disease is p = 0.0006 for a new case in a given year. Use the Poisson distribution to approximate the probability that in a town of 6000 people there will be at least one new
Case of the disease next year.
A) 0.9727
B) 0.0984
C) 0.8743
D) 0.9994
E) 0.0273

Question

Quizplus · Accepted Answer

The Poisson parameter λ is calculated as λ = np = 6000 * 0.0006 = 3.6. The probability of at least one case is 1 minus the probability of zero cases: 1 - e^(-3.6) ≈ 0.9727.

Use the Poisson Model to Approximate the Probability