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A CNN poll reports that: A majority [of respondents], 62%, wanted to see the US do more to stop Russian [invasion] in Ukraine, with

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A CNN poll reports that: A majority [of respondents], 62%, wanted to see the US do more to stop Russian [invasion] in Ukraine, with 38% saying the country has already done enough. But the public is opposed to direct military action by the US: Only 42% were in favor of such a move, with 58% opposed. Among those who said the US should do more to stop Russia's [invasion], though, 60% were in favor of the use of military action. Let M be the event that a randomly sampled respondent was in favor of military action by the US, and let D be the event that this randomly sampled respondent wanted the US to do more. a) (3 pts.) What does 60% represent in terms of M and D? b) (4 pts.) Are D and M disjoint? How do you know? c) (4 pts.) Are D and M independent? How do you know? d) (5 pts.) Determine P(M|DC). e) (5 pts.) Determine P(D|M). 4 f) (5 pts.) These data were collected based on an internet poll of visitors to CNN's website. In 2-4 sentences, discuss the potential bias that may exist in this poll.

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