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Question
chapter 3: 3.1 probability terminology (concepts, simple, complements) homework score: 9/12 answered: 9/12 progress saved done question 11 the table summarizes results from pedestrian deaths that were caused by automobile accidents.
| driver intoxicated | pedestrian intoxicated | yes | no | yes | 52 | 68 | no | 779 | 581 |
if one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated. (please enter a decimal, and round your answer to 4 decimal places.) probability =
Step1: Calculate total number of pedestrian - deaths
The total number of pedestrian - deaths is the sum of all values in the table. So, \(52 + 68+279+581=(52 + 68)+(279 + 581)=120 + 860 = 980\).
Step2: Calculate number of deaths where driver was intoxicated
The number of deaths where the driver was intoxicated is \(52+68 = 120\).
Step3: Calculate the probability
The probability \(P\) that the driver was intoxicated is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So, \(P=\frac{120}{980}=\frac{6}{49}\approx0.1224\).
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\(0.1224\)