Question

In a recent year, a hospital had 4310 births. Find the mean number of births per day, then use that result and the Poisson Distribution to find the probability that in a day there are 13 births.

Answer 1

11.8 ;

0.1036360

Explanation:

Mean births per day, μ = number of births per year / number of days in a year ;

4310 / 365 = 11. 8 births per day

From poisson distribution :

P(x) = (μ^x * e^-μ) ÷ x!

P(x = 13) = (11.8^13 * e^-11.8) ÷ 13!

P(x = 13) = 6.453438E8 / 13!

P(x = 13) = 0.1036360