SOLUTION: Suppose the number of babies born each hour at a hospital follows a Poisson distribution with a mean of 5. Find the probability during a randomly selected hour.
a. Exactly 6 babie
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a. Exactly 6 babie
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Question 1156934: Suppose the number of babies born each hour at a hospital follows a Poisson distribution with a mean of 5. Find the probability during a randomly selected hour.
a. Exactly 6 babies will be born in this hospital
b fewer than 3 babies will be born in this hospital
c. Find the mean and standard deviation for this distribution Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! exactly 6 babies is e^(-5)5^6/6!=0.1462
fewer than 3 would be 0, 1,2
for 0 it is e^-5 or 0.0067
for 1 it is e^-5*5^1/1! or 5 times the above or 0.0337
for 2 it will be e^(-5)*5^2/2!=0.0842
The sum is the answer or 0.1246 (calculator rounds to 0.1247 which picks up rounding error from by hand.
the mean is 5 the variance is 5 and the sd is sqrt(5) (exact) or 2.236
