Mathematics: How many seconds are in one day?

How many seconds are in one day? - id6813286, ashiteru123

drubio102004

01.01.2022

9.08% probability that in a day, there are 14 births. So it does not appear likely that on any given day, there will be exactly 14 births.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In a recent year, a hospital had 4386 births.

An year has 365 days. So $\mu = \frac{4386}{365} = 12.02$

Find the probability that in a day, there are 14 births. Does it appear likely that on any given day, there will be exactly 14 births?

This is P(X = 14).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 14) = \frac{e^{-12.02}*(12.02)^{14}}{(14)!} = 0.0908$

9.08% probability that in a day, there are 14 births. So it does not appear likely that on any given day, there will be exactly 14 births.

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