Posted: April 24th, 2025

MA 2025 MOD 3 DB

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.