In a recent year, a hospital had 4310 births. Find the mean number of births per day, then use that result and the Poisson Distr
ibution to find the probability that in a day there are 13 births.
1 answer:
Answer:
11.8 ;
0.1036360
Step-by-step 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
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