97. Mutually exclusive versus independent The two-way table summarizes data on the gender and eye color of students in a college statistics class. Imagine choosing a student from the class at random. Define event A: student is male, and event B: student has blue eyes. Gender Male Female Total Blue 10 Eye color Brown 40 Total 20 30 50 (a) Copy and complete the two-way table so that events A and B are mutually exclusive. (b) Copy and complete the two-way table so that events A and B are independent. (c) Copy and complete the two-way table so that events A and B are not mutually exclusive and not independent.
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One possible way to do this is to define event B as having green eyes. So, the completed table would look like: Gender Male Female Total Eye color Blue 10 20 30 Brown 40 30 70 Total 50 50 100 Show more…
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