Mathematics, 05.12.2019 17:31 moore6084

Store a uses the newsvendor model to manage its inventory. demand for its product is normally distributed with a mean of 500 and a standard deviation of 300. what is its in-stock probability if store a’s order quantity is 800 units?

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Answer from: DroctorWellsfan

P(X

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the Demand for its product on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=500,\sigma=300)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

What is its in-stock probability if Store A’s order quantity is 800 units?

We are looking for this probability:

What is its in-stock probability if Store A’s order quantity is 800 units?

So we can find the following values:

P(X800) and P(X

Sor this problem we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

If we find the z score for the value 800 we got:

$z=\frac{800-500}{300}=1$

And if we find:

P(X

And by the complement rule:

P(X800)=1-P(X

Answer from: Quest

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.
Which table shows a proportional relationship between x and y

Which table shows a proportional relationship between x and y

Answer from: Quest

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Store a uses the newsvendor model to manage its inventory. demand for its product is normally distri...