10. Four hundred accidents that occurred on a Saturday night were analyzed. The number of vehicles involved and whether alcohol played a role in the accident were recorded. The results are shown below: a. Did alcohol play a role? Yes No Totals Number of Vehicles Involved 3 or more 2 1 55 29 Involved alcohol or a single car? 594 84 99 178 277 Suppose that one of the 400 accidents is chosen at random. What is the probability that the accident: b. Involved 3 or more vehicles or involved alcohol? 16 23 39 C. Involved 3 or more vehicles given alcohol was involved? Totals 170 230 400
10. Four hundred accidents that occurred on a Saturday night were analyzed. The number of vehicles involved and whether alcohol played a role in the accident were recorded. The results are shown below: a. Did alcohol play a role? Yes No Totals Number of Vehicles Involved 3 or more 2 1 55 29 Involved alcohol or a single car? 594 84 99 178 277 Suppose that one of the 400 accidents is chosen at random. What is the probability that the accident: b. Involved 3 or more vehicles or involved alcohol? 16 23 39 C. Involved 3 or more vehicles given alcohol was involved? Totals 170 230 400
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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
Transcribed Image Text:The document presents the analysis of 400 accidents that occurred on a Saturday night. The analysis focuses on the number of vehicles involved and whether alcohol played a role. The results are organized in a table format with the following columns and rows:
**Table Title:** Analysis of Saturday Night Accidents
**Columns:**
1. Did alcohol play a role? (Yes/No)
2. Number of Vehicles Involved (1 or 2 / 3 or More)
**Rows:**
- **Totals for 1 or 2 vehicles involved:**
- No alcohol: 39 accidents
- Alcohol: 55 accidents
- Total: 94 accidents
- **Totals for 3 or more vehicles involved:**
- No alcohol: 29 accidents
- Alcohol: 16 accidents
- Total: 45 accidents
- **Grand Totals:**
- Total without alcohol: 68 accidents
- Total with alcohol: 71 accidents
- Total number of accidents: 400
**Questions:**
a. What is the probability that the accident involved alcohol or a single car?
b. What is the probability that the accident involved 3 or more vehicles or involved alcohol?
c. What is the probability that the accident involved 3 or more vehicles given that alcohol was involved?
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