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.

Texting and Alcohol If four different high school drivers are randomly selected, find the probability that they all texted while driving.

Texting and Alcohol If four different high school drivers are randomly selected, find the probability that they all texted while driving.

Accepted Answer

Hello, everyone. Let's take a look at this question together. A study on screen habits and sleep patterns collected survey results from high school students aged 16 and older. The table below summarizes responses based on whether students used electronic devices right before bed and whether they reported poor sleep quality. So here we have our table of the high school students who used electronic devices before bed or did not use electronic devices, and whether they reported poor sleep or not. If 4 different high school students are randomly selected from the group represented in the table below, find the probability that all 4 used electronic devices before bed. So in order to find the probability of 4 different High school students randomly selected from the group in the table all used electronic devices before bed, we must first calculate the total number of students, which is equal to 8000, as well as the number of students who use devices before bed, which is 3760. And then we can find the probability that all 4 randomly selected students use electronic devices. before bed, which to find the probability that all 4 use devices, we have the probability of the first student, which is the total number who use devices before bed, divided by the total number of students, and then to find the probability for the remaining 3 students, we subtract 1 from the number who use devices before bed and the total number of students each time. So the value for the 2nd, 3rd, and 4th student that all use devices is one less for the total students and the number who use devices before bed each time, which multiplying those values together gives us 0.04876, which is the probability that all 4 used electronic devices before bed. So 0.04876 is the correct answer. I hope you found this video to be helpful. Thank you and goodbye.

��app

Key Concepts

Probability

Independent Events

Sample Space

Watch next