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Give an example of an event in a random experiment and define its complement. What is the difference between discrete and continuous random variables? Include

  1. Give an example of an event in a random experiment and define its complement.
  2. What is the difference between discrete and continuous random variables?
  3. Include a real-world example in your answer that illustrates the difference between discrete and continuous random variables.
  4. Which of the following may be modeled by a binomial random variable? If the binomial random variable is not appropriate, give a reason why.
    • John is a 70% free-throw shooter. He decides to shoot 25 shots. We are interested in the number of successful shots. Assume the outcome on each shot is independent of all other shots.
    • Margie is not very good at throwing darts. She is successful at hitting the bull's eye about 30% of the time. We are interested in the number of throws it takes for her to hit the bull's eye 10 times.

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