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2. The American Statistical Association (ASA) is the leading professional organization for statisticians in the United States, with more than 19,000 members. According to information

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2. The American Statistical Association (ASA) is the leading professional organization for statisticians in the United States, with more than 19,000 members. According to information from the Association, 34.6% of ASA members are women. They also report that 56.6% of their members report a doctorate as their highest educational degree, and 29.6% of members with doctorates are women. Consider these observed proportions as true probabilities for ASA members. (a) Are being a woman and having a doctorate as the highest educational degree independent of each other among ASA members

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