Mathematics: What is the quotient of 40.3 ÷ 1.24?

What is the quotient of 40.3 ÷ 1.24? - id403124372612, smortandsons

sherlock19

09.01.2021

16.81% probability that, for any day, the number of special orders sent out will be exactly 4

Step-by-step explanation:

The only information that we have is a mean during an interval. So we use the Poisson distribution solve this question.

We have that the probability of exactly x events is given by the following formula:

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

In which $\mu$ is the mean.

The auto parts department of an automotive dealership sends out a mean of 5.2 special orders daily.

This means that $\mu = 5.2$

What is the probability that, for any day, the number of special orders sent out will be exactly 4?

This is P(X = 4).

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

$P(X = 4) = \frac{e^{-5.2}*(5.2)^{4}}{4!} = 0.1681$

16.81% probability that, for any day, the number of special orders sent out will be exactly 4

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