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after collecting the data, emma finds that the daily number of customers shopping at a small post office is normally distributed with mean 87 and standard deviation 5. what is the probability that a randomly selected day's number of customers is more than 97?

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The probability that a randomly selected day's number of customers is more than 97 is 2.28%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

As given, after collecting the data, Emma finds that the daily number of customers shopping at a small post office is normally distributed with mean 87 and standard deviation 5.

mean,    µ=    87

standard deviation,    σ=    5

Z = (x-µ)/σ        

   P(X >    97    )                    

=    P((x-µ)/σ >  ( 97 -  87) / 5)    

=    P(Z  >  2.00    )                    

=    1-P( Z  ≤  2.00    )                    

=    1  - 0.9772                  

=    0.0228                            

=    2.28%  

Therefore, the probability that a randomly selected day's number of customers is more than 97 is 2.28%.

To know more about the probability, click on the link

https://brainly.com/question/24756209

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