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Interpreting joint probability

Your company tracks customer purchases and categorizes them into low, medium, and high spenders, as well as short, medium, and long visit durations. The following probabilities are observed:

Visit duration Low Spender Medium Spender High Spender All spenders
All durations 38% 49% 20% 100%
Short 18% 12% 7% 37%
Medium 14% 22% 9% 45%
Long 6% 15% 4% 25%
Visit duration Low Spender Medium Spender High Spender All spenders
All durations 36% 46% 18% 100%
Short 13% 13% 6% 32%
Medium 14% 22% 8% 44%
Long 9% 11% 4% 24%

What is the joint probability that a randomly selected customer is a medium spender and has a long visit duration?

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Advanced Probability: Uncertainty in Data

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