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Kamila [148]
3 years ago
15

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
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

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

  P(x≤500) = 0.1038

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given average of customers per day 'μ' = 480

Standard deviation of  customers 'σ'    = 110

Given sample size 'n' = 48

Let x = 500

Z = \frac{x-mean}{S.D} = \frac{480-500}{\frac{110}{\sqrt{48} } } = -1.260

<u><em>Step(ii)</em></u>:-

<em> The probability that the average number of customers in the sample is less than 500</em>

P(x≤500) = P(z≤-1.26)

              =  0.5 - A(1.26)

             =   0.5 -0.3962

            =  0.1038

<u><em>Conclusion</em></u>:-

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

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