Question

o Suppose the number of babies born during an hour shift a hospital's malamity wig follows a Poisson distribution with a mean of 5 an hou Find the probably that six babes robom during a particular 1-hour period in this maternity wing Round to sx decimal places 0146223 00000044 0001278 0.000031 CY

Suppose the number of babies born during an 8-hour shift at a hospital's maternity wing follows a Poisson distribution with a mean of 5 an hour. Find the probability that six babies are born during a particular 1-hour period in this maternity wing. Round to six decimal places.

Answer 1

Let X be the number of babies born in a 1-hour period.

$P(X=n) = \lambda ^n e^{-\lambda} / n!$

X ~ Pois(5)

We have to find = 0.1462228 = 0.146223