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 six babies will be born during a particular 1-hour
Period at this hospital.
A)0.000260
B)0.018625
C)0.000005
D)0.149003

Question

Quizplus · Accepted Answer

The probability of exactly k events in a Poisson distribution is given by P(k; λ) = (e^(-λ) * λ^k) / k!, where λ is the mean number of events (7 in this case) and k is the number of events we're interested in (6 in this case). Plugging these values into the formula gives P(6; 7) = (e^(-7) * 7^6) / 6! ≈ 0.149003.

Suppose the Number of Babies Born Each Hour at a Hospital