For which binomial distribution would a Poisson approximation not be acceptable?
A)n = 35, π = 0.07
B)n = 95, π = 0.01
C)n = 80, π = 0.02
D)n = 50, π = 0.03

Question

Quizplus · Accepted Answer

For a Poisson approximation to be acceptable, the expected value (λ = nπ) should be at least 5. In this case, λ = 35 x 0.07 = 2.45 which is less than 5. Therefore, a Poisson approximation would not be acceptable for this binomial distribution.

For Which Binomial Distribution Would a Poisson Approximation Not Be