Suppose the number of babies born each hour at a hospital follows a Poisson distribution with a mean of 7. Find the probability that exactly two babies will be born during a particular 1-hour period at this hospital.
A) 0.159580
B) 0.022341
C) 0.000742
D) 0.002793

Question

Quizplus · Accepted Answer

The probability of exactly k events in a Poisson distribution is given by $ P(X = k) = \frac{e^{-\lambda} \lambda^k}{k!} $. Here, $ \lambda = 7 $ and $ k = 2 $. Calculating this gives approximately 0.022341.

Suppose the Number of Babies Born Each Hour at a Hospital