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Question
chapter 3: 3.4 contingency tables - homework
score: 4/10 answered: 2/5
question 3
the table summarizes results from 980 pedestrian deaths that were caused by automobile accidents.
| driver intoxicated? | pedestrian intoxicated? | ||
|---|---|---|---|
| yes | 52 | 84 | |
| no | 224 | 620 |
if one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated but the pedestrian was. please enter a decimal to 4 places.
Step1: Identify relevant values
We want the case where driver is not intoxicated and pedestrian is. The number of such cases is 224. The total number of pedestrian - deaths is 980.
Step2: Calculate probability
The probability $P$ is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{224}{980}$.
Step3: Simplify and round
$\frac{224}{980}=\frac{8}{35}\approx0.2286$
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0.2286