SOLUTION: The maternity ward at Dr. Jose Fabella Memorial Hospital in Manila in the Philippines is one of the busiest in the world with an average of 62 births per day. Let X = the number of

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Question 1175145: The maternity ward at Dr. Jose Fabella Memorial Hospital in Manila in the Philippines is one of the busiest in the world with an average of 62 births per day. Let X = the number of births in an hour. What is the probability that the maternity ward will deliver.
a. exactly 6 babies in one hour.
b. exactly 9 babies in one hour.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
62 births per day is 2.583 births per hour.
Poisson is used when it is proportional to time
so with parameter 2.583, what is probability 6 babies will be born.
e^*-2.583*2.583^6/6!=0.0312.
for 9 it would be e^(-2.583)*2.583^9/9!=0.0011