Questions: Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table. Drove When Drinking Alcohol? Yes No --------- Texted While Driving 692 3143 No Texting While Driving 189 4671 If one of the high school drivers is randomly selected, find the probability that the selected driver texted while driving and drove when drinking alcohol. The probability that one randomly selected high school driver texted while driving and drove when drinking alcohol is 0 . (Round to three decimal places as needed.)

Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table. Drove When Drinking Alcohol? Yes No --------- Texted While Driving 692 3143 No Texting While Driving 189 4671 If one of the high school drivers is randomly selected, find the probability that the selected driver texted while driving and drove when drinking alcohol. The probability that one randomly selected high school driver texted while driving and drove when drinking alcohol is 0 . (Round to three decimal places as needed.)
Transcript text: Use the data in the following table, which lists survey results from high school drivers at least 16 years of age. Assume that subjects are randomly selected from those included in the table. Drove When Drinking Alcohol? \begin{tabular}{|l|c|c|} \hline & Yes & No \\ \hline Texted While Driving & 692 & 3143 \\ \hline No Texting While Driving & 189 & 4671 \\ \hline \end{tabular} If one of the high school drivers is randomly selected, find the probability that the selected driver texted while driving and drove when drinking alcohol. The probability that one randomly selected high school driver texted while driving and drove when drinking alcohol is 0 . (Round to three decimal places as needed.)
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Solution

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Solution Steps

Step 1: Identify the Parameters

Given parameters are \(n_1 = 692\), \(n_2 = 3143\), \(n_3 = 189\), \(n_4 = 4671\), and \(k = 1\).

Step 2: Calculate the Total Number of Surveyed Individuals

The total number of surveyed individuals, \(N\), is calculated as \(N = n_1 + n_2 + n_3 + n_4 = 8695\).

Step 3: Calculate the Probability for One Individual

The probability, \(P\), of a specific behavior combination occurring in a randomly selected individual is calculated using the formula \(P = \frac{n_1}{N} = 0.08\).

Final Answer:

The probability is approximately 0.08.

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