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Part 4 (2 points). Using all of the criteria of a Binomial Experiment shown in the boxes below, explain in a short paragraph of several
Part 4 (2 points). Using all of the criteria of a Binomial Experiment shown in the boxes below, explain in a short paragraph of several complete sentences why the Coin Tossing variable in Part 1 represents a binomial probability experiment. For instance, a binomial experiment has only two outcomes (success vs failure)... You want to identify theses outcomes for the Coin experiment and determine which outcome is considered a success and which is considered a failure. Then, you want to do the same for all of the other criteria of a Binomial Experiment shown in the box below. A binomial experiment is a probability experiment that satisfies these conditions: 1. The experiment has a fixed number of trials, where each trial is independent of the other trials. 2. There are only two possible outcomes of interest for each trial. Each outcome can be classified as a success (S) or as a failure (F). 3. The probability of success is the same for each trial. 4. The random variable x counts the number of successful trials. Notation for Binomial Experiments Symbol Description The number of trials P The probability of success in a single trial The probability of failure in a single trial (q = 1 - p) The random variable represents a count of the number of successes in n trials: x = 0, 1, 2, 3, ..., n
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