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Example 3.16 from Statistics, 3.3 Two Basic Rules of Probability
d. What is the probability that a member is an advanced swimmer and an intermediate swimmer? Are being an advanced swimmer and being an intermediate swimmer mutually exclusive? Why or why not?
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
d. P(advanced AND intermediate) = 0, so these are mutually exclusive events. A swimmer cannot be an advanced swimmer and an intermediate swimmer at the same time.
How did it go?