In Exercises 9–20, use the data in the following table, which ...

Question

In Exercises 9–20, use the data in the following table, which lists survey results from high school drivers at least 16 years of age (based on data from “Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students,” by O’Malley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6). Assume that subjects are randomly selected from those included in the table. Hint: Be very careful to read the question correctly.

Drinking and Driving If one of the high school drivers is randomly selected, find the probability of getting one who drove when drinking alcohol.

Drinking and Driving If one of the high school drivers is randomly selected, find the probability of getting one who drove when drinking alcohol.

Accepted Answer

Welcome back, everyone. A study recorded the responses of 8,505 office employees regarding headphone use and reports of air discomfort. The results are summarized in the table below. If one of the employees is randomly selected, what is the probability that the person reported experiencing ear discomfort? A says 0.190, B 0.109, C 0.910. B 0.009. So we're looking for the probability of finding a person who reported experiencing air discomfort. And basically, we have to recall that the probability is the ratio between two numbers, M and M. M is the number of favorable outcomes. And is the total number of outcomes. In this problem, we're going to use our outcomes as the number of employees. So the total number of employees surveyed was 8000. 505. So we can clearly define our N as 8,505. So we only need to identify the number of favorable outcomes and those would be all of the employees who reported experiencing air discomfort. We can use the table. Identify the column which says reported ear discomfort, and then we're going to add the two numbers. Each number represents whether or not an employee used headphones frequently, right? So regardless of that fact, we are looking for the total number of employees who reported air discomfort, and that would be the sum. Between 782 and 143, which is 925, which gives us the number of favorable outcomes. Meaning the probability that we're looking for is the ratio between 925 and 8,505. Which is 0.109 rounded to three decimal places. And this corresponds to the answer choice B. Thank you for watching.

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Key Concepts

Probability

Contingency Table

Total Count

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