A Bicycle Shop Equips 60% of Their Bikes with a Water

question 33

Multiple Choice

A bicycle shop equips 60% of their bikes with a water bottle holder. 55% of the bikes they sell have a kickstand attached to the bike. 34% of the bikes sold have both features.
-We can tell that these two features are independent because...

• A) The probability of having either feature (81%) doesn't equal the probability of having just one feature (60% and 55%).
• B) The probability of having both features (34%) does not equal the probability of having neither feature (19%).
• C) The probability of having a kickstand given that you have a water bottle (56.7%) is about equal to the probability of having a kickstand (55%).
• D) The probability of having both features is not zero; it is 34%.
• E) These two features don't have anything to do with each other, so we know they're independent.

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Definitions:

Mammals

Warm-blooded vertebrates characterized by the presence of mammary glands which females use to nourish their young.

Minor Term

In logic, specifically in syllogisms, the term that is the subject of the conclusion.

Syllogism

A form of deductive reasoning consisting of a major premise, a minor premise, and a conclusion, often structured in categorical logic.

Whales

Large marine mammals belonging to the cetacean family, known for their intelligence and often extreme size.