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

Using what you learned in this week's lessons, answer the following questions:

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.