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Forty percent of the students at a local college belong to a club and 50% work part time. Five percent of the students work part

Forty percent of the students at a local college belong to a club and 50% work part time. Five percent of the students work part time and belong to a club. Let C = student belongs to a club and PT = a student works part time.

  1. Find the probability that a student does not belong to a club and does not work part time.
  2. Find the probability that a student works part time but is not in a club.
  3. Are C and PT mutually exclusive?

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