At a coffee shop, 70% of the customers buy a coffee drink, 30% buy food, and 20% buy both a coffee drink and food. Are buying food and buying a coffee drink independent events? How do you know?

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Question:

At a coffee shop, 70% of the customers buy a coffee drink, 30% buy food, and 20% buy both a coffee drink and food. Are buying food and buying a coffee drink independent events? How do you know?

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Answer:NoStep-by-step explanation:If independent, P(C^F) = P(C) × P(F)0.2 = 0.3×0.70.2 = 0.21 is not a true statement

Yes.70% of the customers buy a coffee drink and 30% buy food.The sum of it is 100% already.So 20% of it just another addition of information since it cannot exceed 100% of percentage (100% + 20% = 120%).It also contains a subset for both percentage.

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