Using Probability to Identify Unlikely Events. ?In Exercises?, ?consider an event to be “unlikely” if its probability is less than or equal to 0.05. (This is equivalent to the same criterion commonly used in inferential statistics, but the value of 0.05 is not absolutely rigid, and other values such as 0.01 are sometimes used instead.) At the End of the Day In a Marist poll, respondents chose the most annoying phrases used in conversation. Nineteen chose “at the end of the day,” 441 chose “whatever,” 235 chose “you know,” 103 chose “it is what it is,” 66 chose “anyway,” and 75 were unsure. Based on these results, what is the probability of selecting someone who considers “at the end of the day” to be the most annoying phrase? At the end of the day, is it unlikely to select someone with that choice?

Step-by-step Solution Step 1 of 2 Computing the total number of the respondents in the survey, get the sum of all of the respondents stated on the problem. It will be: 19+441+235+103+66+75= 939 Thus, the sample space is 939. We are only concern on the probability of selecting someone who chose ‘at the end of the day’ as the most annoying statement in a conversation. Let this event be denoted by A. There are 19 ways that A will occur. Using this information, the probability of A is: number if ways A occur P(A)= sample space 19 P(A)= 939= 0.0202