Please answer number 2. Make sure to show work! # Statistical Literacy Questions## 1. Statistical Literacy: What does the random variable for a binomial experiment of \( n \) trials measure?In a binomial experiment, the random variable typically measures the number of successes in \( n \) trials. Each trial results in either a success or a failure, and the random variable counts the number of times the desired outcome (success) occurs.## 2. Statistical Literacy: What does it mean to say that the trials of an experiment are independent?When the trials of an experiment are independent, it means that the outcome of any one trial does not affect the outcome of any other trial. This independence assumption ensures that the probability of success (or failure) on one trial remains constant throughout all trials of the experiment.## 3. Statistical Literacy: For a binomial experiment, how many outcomes are possible for each trial? What are the possible outcomes?In a binomial experiment, there are exactly two possible outcomes for each trial: success or failure. This binary outcome is a fundamental characteristic of binomial experiments.## 4. Statistical Literacy: In a binomial experiment, is it possible for the probability of success to change from one trial to the next? Explain.In a standard binomial experiment, the probability of success does not change from one trial to the next; it remains constant. This constant probability is a key requirement for the experiment to be classified as binomial. If the probability were to change, the scenario would no longer satisfy the criteria for a binomial experiment.

Statistical Literacy What does the random variable for a binomial experi- ment of n trials measure? Statistical Literacy What does it mean to say that the trials of an experiment are independent? Statistical Literacy For a binomial experiment, how many outcomes are possible for each trial? What are the possible outcomes? Statistical Literacy In a binomial experiment, is it possible for the probabil- ity of success to change from one trial to the next? Explain