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Part 1: Describe your binomial experiment and its binomial random variable X. X is a binomial random variable derived from your binomial experiment. The value

Part 1: Describe your binomial experiment and its binomial random variable X. X is a binomial random variable derived from your binomial experiment. The value of X (for example, 0, 1, 2, ... up to your number of trials) is the possible number of successes out of your total (certain fixed number) of trials. Consider the terms (trial, outcome, P) when you make your example of binomial experiment.

Make sure followings:

  • Do not use 50% vs. 50% chance experiment such as coin flipping. You can use hypothetical value for probability of having a success. But, not 0.5 or 50%.

Describe your example of binomial experiment:

Part 2: Using your example described above, answer following questions:

  1. (2 points) Trial. What is your trial? How many trials (which is n) do you have? Why do you think they are independent which is one of required conditions for binomial experiment?
  2. (2 points) Outcome. Which outcome of your trial is considered as a success?
  3. (2 points) The probability of having a success "per trial" is denoted as P in this chapter. Give the probability value of P. If you are using an experimental (relative frequency) probability, use hypothetical value for P. Answer with "number".
  4. (2 points) You have n trials. What does P (X=1) stand for? How is this different from " the probability of having a success per trial, which is P" ? Explain.

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