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What is the probability that a randomly chosen respondent

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Problem: In a new poll with regard to the future of the Canadian Senate, 70% of the respondents indicated that they would like to have a vote with respect to the upper chamber's future. Furthermore, 50% of the respondents said that they would like to see the Senate abolished, while 40% of the respondents said that they would like it to be kept as is.

Required:

a) If keeping the Senate or abolishing it represents two mutually exclusive events, what is the probability that a randomly chosen respondent would belong to either of the two groups?

b) If abolishing the Senate and voting for its future are statistically independent events, what is the probability that a randomly chosen respondent would be in favour of either abolishing the Senate or voting for its future?

c) Of the respondents who were in favour of keeping the Senate, 70% said that they would like to vote on it. What is the probability that a randomly chosen respondent would be in favour of either keeping the Senate or voting for its future?

Reference no: EM132444945

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