The total amount of money spent by shoppers in one visit to Wainwright’s department store is normally distributed with a mean of $50 with a standard deviation of $10. Use the Standard Normal table to compute the following probability: What is the probability that a shopper chosen at random will spend less than $47 during their next visit to Wainwright’s?

A

In order to use Table A, a standardized amount of money spent by shoppers should be calculated. For a shopper who spends $47 during one visit to Wainwright’s, this standardized amount of money equals z = (47 – 50) / 10 = -0.3. The cumulative proportion for z is 0.3821. This means that the probability that shoppers will spend less than $47 during their next visit to Wainwright’s is 0.3821.

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Academic.Tips. (2021) 'The total amount of money spent by shoppers in one visit to Wainwright's department store is normally distributed with a mean of $50 with a standard deviation of $10. Use the Standard Normal table to compute the following probability: What is the probability that a shopper chosen at random will spend less than $47 during their next visit to Wainwright's'. 25 September.

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Academic.Tips. (2021, September 25). The total amount of money spent by shoppers in one visit to Wainwright's department store is normally distributed with a mean of $50 with a standard deviation of $10. Use the Standard Normal table to compute the following probability: What is the probability that a shopper chosen at random will spend less than $47 during their next visit to Wainwright's? Retrieved from https://academic.tips/question/the-total-amount-of-money-spent-by-shoppers-in-one-visit-to-wainwrights-department-store-is-normally-distributed-with-a-mean-of-50-with-a-standard-deviation-of-10-use-the-standard-normal-table-to/

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Academic.Tips. 2021. "The total amount of money spent by shoppers in one visit to Wainwright's department store is normally distributed with a mean of $50 with a standard deviation of $10. Use the Standard Normal table to compute the following probability: What is the probability that a shopper chosen at random will spend less than $47 during their next visit to Wainwright's?" September 25, 2021. https://academic.tips/question/the-total-amount-of-money-spent-by-shoppers-in-one-visit-to-wainwrights-department-store-is-normally-distributed-with-a-mean-of-50-with-a-standard-deviation-of-10-use-the-standard-normal-table-to/.

1. Academic.Tips. "The total amount of money spent by shoppers in one visit to Wainwright's department store is normally distributed with a mean of $50 with a standard deviation of $10. Use the Standard Normal table to compute the following probability: What is the probability that a shopper chosen at random will spend less than $47 during their next visit to Wainwright's?" September 25, 2021. https://academic.tips/question/the-total-amount-of-money-spent-by-shoppers-in-one-visit-to-wainwrights-department-store-is-normally-distributed-with-a-mean-of-50-with-a-standard-deviation-of-10-use-the-standard-normal-table-to/.


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Academic.Tips. "The total amount of money spent by shoppers in one visit to Wainwright's department store is normally distributed with a mean of $50 with a standard deviation of $10. Use the Standard Normal table to compute the following probability: What is the probability that a shopper chosen at random will spend less than $47 during their next visit to Wainwright's?" September 25, 2021. https://academic.tips/question/the-total-amount-of-money-spent-by-shoppers-in-one-visit-to-wainwrights-department-store-is-normally-distributed-with-a-mean-of-50-with-a-standard-deviation-of-10-use-the-standard-normal-table-to/.

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"The total amount of money spent by shoppers in one visit to Wainwright's department store is normally distributed with a mean of $50 with a standard deviation of $10. Use the Standard Normal table to compute the following probability: What is the probability that a shopper chosen at random will spend less than $47 during their next visit to Wainwright's?" Academic.Tips, 25 Sept. 2021, academic.tips/question/the-total-amount-of-money-spent-by-shoppers-in-one-visit-to-wainwrights-department-store-is-normally-distributed-with-a-mean-of-50-with-a-standard-deviation-of-10-use-the-standard-normal-table-to/.

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