Question

ial Expériments and Binomial Distributions A binomial experiment is a probability experiment with a number of repeated trials and the following properties: . Each trial has two outcomes. . The outcomes of each trial are independent of other trials. . The probability of each specific outcome is uniform across tr Example 1: We roll a standard 6-sided die three times. Each time we roll the die, we record whether the die landed on a number less than 5, or not. That is, we call ita success when the die lands on a 1,2, 3, or 4, and a failure when it lands on a 5 or 6. This is a binomial experiment. The random variable in this experiment is the number of successes, and the possible values of the variable are 0, 1, 2, or 3. The following notation will be used for binomial experiments: Probability of success: p Number of trials: n Number of successes (variable): x Example 1: In the example above, the probability of success is p= number of trials (rolls of the die), and x could be 0, 1, 2, or 3. n= 3 is the DO IT NOW (5) A statistics quiz consists of 5 multiple choice problems with 4 choices for each problem. 5-5.1: What are the possible values of the variable number of correct solutions? 5-5.2: If each problem is treated as a binomial trial, what is p? 5-5.3: If each problem is treated as a binomial trial, what is n?

Answer 1

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