Question

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
no texting while driving	144	4333

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 \\(\square\\) (round to three decimal places as needed.)

Explanation:

Step1: Calculate total number of drivers

First, we find the total number of high school drivers by adding up all the values in the table.
The values are 749 (Texted, Yes), 2890 (Texted, No), 144 (No Texted, Yes), and 4333 (No Texted, No).
So total = \(749 + 2890 + 144 + 4333\)
\(749+2890 = 3639\), \(144 + 4333 = 4477\), then \(3639+4477 = 8116\)

Step2: Find the number of drivers who texted while driving and drove when drinking alcohol

From the table, the number of drivers who texted while driving and drove when drinking alcohol is 749.

Step3: Calculate the probability

The probability is the number of favorable outcomes (drivers who texted while driving and drove when drinking alcohol) divided by the total number of outcomes (total drivers).
So probability \(P=\frac{749}{8116}\)
Calculating this: \(749\div8116\approx0.092\)

Answer:

\(0.092\)