1. Identifying binomial experiments For each of the following examples, determine which characteristics of a binomial experiment apply, and then check the appropriate boxes. A game is played where a contestant is asked to reach into a well-shaken bag containing an equal number of red, yellow, and green marbles. Each time he selects a marble, he notes its color and places the marble back in the bag, The bag is then shaken well, and he selects again. After 15 selections, the total number of times each color was selected is recorded. The contestant is awarded points based on the number of times each color is selected in those 15 selections. Check all that apply. The outcome of each trial is independent of those of other trials. Each trial has only two possible (mutually exclusive) outcomes, There is a fixed number of n trials. The probability of each possible outcome in any trial is the same from trial to trial. This example a binomial experiment. A random sample of 120 individuals is selected from a large group with ages ranging from 18 to 87 years. Each person is exposed to the same loud noise, and the person's reaction time is measured. Check all that apply. Each trial has only two possible (mutually exclusive) outcomes. The outcome of each trial is independent of those of other trials. The probability of each possible outcome in any trial is the same from trial to trial. There is a fixed number of n trials. This example a binomial experiment. A random sample of 320 people is selected from a large city. A poll is conducted to determine how many people in the sample regularly watch cable news channels. Each person is asked to respond with either a yes or a no. Check all that apply. The probability of each possible outcome in any trial is the same from trial to trial. There is a fixed number of n trials. The outcome of each trial is independent of those of other trials. Each trial has only two possible (mutually exclusive) outcomes. This example a binomial experiment. Has WIN 2003