Math  /  Data & Statistics

QuestionUse 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 & 673 & 2873 \\ \hline No Texting While Driving & 122 & 4412 \\ \hline \end{tabular}
If four different high school drivers are randomly selected, find the probability that they all drove when drinking alcohol.
The probability that four randomly selected high school drivers all drove when drinking alcohol is \square (Round to six decimal places as needed.)

Studdy Solution
Calculate the probability and round to six decimal places.
P(all four drove when drinking alcohol)(7958080)4 P(\text{all four drove when drinking alcohol}) \approx \left( \frac{795}{8080} \right)^4 (0.098397)4 \approx (0.098397) ^4 0.000093 (rounded to six decimal places) \approx 0.000093 \text{ (rounded to six decimal places)}
The probability that four randomly selected high school drivers all drove when drinking alcohol is 0.0000930.000093.

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