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In the high school parking lot 14% of the vehicles are trucks and 31% are painted red are mutually exclusive, is it possible for a vehicle to be both a truck and red in the school parking lot?

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Final answer:

The question is about determining if being a truck and being painted red are mutually exclusive in a high school parking lot, which would mean a vehicle can't be both. If stated as mutually exclusive, then there are no red trucks, but this doesn't rule out the possibility in reality.

Step-by-step explanation:

The question is asking whether the characteristics of being a truck and being painted red are mutually exclusive in the context of vehicles in a high school parking lot. The term mutually exclusive refers to the impossibility of two events occurring at the same time. If 14% of the vehicles are trucks and 31% are painted red, and these statistics are mutually exclusive, then no vehicle can be both a truck and red. However, this does not mean that, in reality, a vehicle cannot be both; it just signifies that, in this specific situation, no red trucks have been accounted for.

For instance, if there is a red truck in the parking lot, it would challenge the claim of mutual exclusivity between trucks and red vehicles. In contrast, if we consider the statistics provided in a different scenario, where we have a high school principal claiming that 30 percent of athlete students drive themselves to school compared to 4 percent of nonathletes, we would analyze the data from samples of student athletes and nonathletes to compare percentages.

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