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ad-work [718]
3 years ago
10

Please help me thanks :)

Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

17

Step-by-step explanatio

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4 years ago
A Starbucks coffee shop serves an average of 3500 customers per day, with a standard deviation of 250. What is the probability t
castortr0y [4]

Answer:

P(3300  

And we can find this probability with this difference:  

P(-0.8  

Step-by-step explanation:

Previous concepts  

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".  

Solution to the problem  

Let X the random variable that represent the amount of cofee shops of a population, and for this case we know the distribution for X is given by:  

X \sim N(3500,250)  

Where \mu=3500 and \sigma=250  

We are interested on this probability  

P(3300  

And the best way to solve this problem is using the normal standard distribution and the z score given by:  

z=\frac{x-\mu}{\sigma}  

If we apply this formula to our probability we got this:  

P(3300  

And we can find this probability with this difference:  

P(-0.8  

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