use the data in the following table, which lists survey results from high school drivers at least 16 years…

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.\n| |drove when drinking alcohol?| |\n|--|--|--|\n|texted while driving|yes|no|\n|no texting while driving|736|3121|\n|no texting while driving|166|4210|\nif four different high - school drivers are randomly selected, find the probability that they all drove when drinking alcohol.\nthe probability that four randomly selected high school drivers all drove when drinking alcohol is \n(round to six - 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.\n| |drove when drinking alcohol?| |\n|--|--|--|\n|texted while driving|yes|no|\n|no texting while driving|736|3121|\n|no texting while driving|166|4210|\nif four different high - school drivers are randomly selected, find the probability that they all drove when drinking alcohol.\nthe probability that four randomly selected high school drivers all drove when drinking alcohol is \n(round to six - decimal places as needed.)

Answer

Explanation:

Step1: Calculate total number of high - school drivers

First, find the total number of high - school drivers by adding all the values in the table. The total number of drivers $N=736 + 3121+166 + 4210=8233$.

Step2: Calculate the number of drivers who drove when drinking alcohol

The number of drivers who drove when drinking alcohol $n = 736+166=902$.

Step3: Calculate the probability of one driver driving when drinking alcohol

The probability $p$ that a single randomly - selected driver drove when drinking alcohol is $p=\frac{n}{N}=\frac{902}{8233}$.

Step4: Calculate the probability that 4 drivers all drove when drinking alcohol

Since the selections are independent events, the probability that 4 different randomly - selected drivers all drove when drinking alcohol is $P = (\frac{902}{8233})^4$. $P=\left(\frac{902}{8233}\right)^4=\left(0.10956\right)^4\approx0.000144$.

Answer:

$0.000144$