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Answer:
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:
And let represent the sample mean, the distribution for the sample mean is given by:
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:
and
Sor this problem we can use the z score formula given by:
If we find the z score for the value 800 we got:
And if we find:
And by the complement rule: