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The following contingency table shows the number of customers who bought various brands of digital cameras at Amazon.com and Ritz Camera. Brand Amazon.com Ritz Camera Nikon 54 12 Canon 32 25 Sony 26 24 Other 92 77 Given that the camera was purchased at Ritz Camera, the probability that it was a Sony brand is _____

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Final answer:

To find the probability of a camera being a Sony brand given that it was purchased at Ritz Camera, we need to consider the values in the contingency table and calculate the probability using the given information.

Step-by-step explanation:

To find the probability that the camera was a Sony brand given that it was purchased at Ritz Camera, we need to use the values in the contingency table. The contingency table shows the number of customers who bought various brands of digital cameras at each store. Since we are given that the camera was purchased at Ritz Camera, we only need to consider the values in the Ritz Camera column. The total number of customers who bought at Ritz Camera is 12 + 25 + 24 + 77 = 138. The number of customers who bought a Sony brand at Ritz Camera is 24. Therefore, the probability that the camera was a Sony brand given that it was purchased at Ritz Camera is 24/138 = 0.1739, or approximately 17.39%.

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