Question
In the popular TV cartoon series, The Simpsons, the Simpson family has five members: Homer, Marge, Bart, Lisa, and Maggie. Let's involve the Simpsons in
In the popular TV cartoon series, "The Simpsons," the Simpson family has five members: Homer, Marge, Bart, Lisa, and Maggie. Let's involve the Simpsons in Simpson's Paradox.
Consider Homer and Bart's consumption of potato chips and donuts. Suppose that Marge is in the room 20% of the time that Bart is eating chips and 30% of the time that Bart is eating donuts. Similarly, suppose that Marge is in the room 20% of the time that Homer is eating chips and 30% of the time that Homer is eating donuts; thus she catches them eating each kind of snack equally often. Nonetheless, Marge is in the room 23% of the time that Bart is eating either donuts or chips, and Marge is in the room 27% of the time that Homer is eating either donuts or chips. Suppose that Homer and Bart never eat chips and donuts in the same snack--eating chips and eating donuts are mutually exclusive.
1. What fraction of the time that Bart eats either chips or donuts does he eat donuts? ( )
2. What fraction of the time that Homer eats either chips or donuts does he eat donuts? ( )
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