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OpenStax, Statistics §4.6 Poisson Distribution (Optional) · Exercise 15 · Probability · Discrete distributions

Poisson Distribution (Optional) · Exercise 15

The maternity ward at a hospital in the Philippines is one of the busiest in the world with an average of 60 births per day. Let X = the number of births in an hour.

(a) Find the mean and standard deviation of X.
(b) Sketch a graph of the probability distribution of X.
(c) What is the probability that the maternity ward will deliver three babies in one hour?
(d) What is the probability that the maternity ward will deliver at most three babies in one hour?
(e) What is the probability that the maternity ward will deliver more than five babies in one hour?

Its source prints no answer for this problem, so there's nothing to check against.

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OpenStax, Statistics · §4.6 Poisson Distribution (Optional) · Exercise 15

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