Suppose the local Best Buy store averages 480 customers per day entering the facility with a standard deviation of 110 customers. A random sample of 48 business days was selected. What is the probability that the average number of customers in the sample is less than 500

The probability that the average number of customers in the sample is less than 500  

  P(x≤500) = 0.1038

Step-by-step explanation:

Step(i):-

Given average of customers per day 'μ' = 480

Standard deviation of  customers 'σ'    = 110

Given sample size 'n' = 48

Let x = 500

Step(ii):-

The probability that the average number of customers in the sample is less than 500

P(x≤500) = P(z≤-1.26)

              =  0.5 - A(1.26)

             =   0.5 -0.3962

            =  0.1038

Conclusion:-

The probability that the average number of customers in the sample is less than 500  = 0.1038

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