(d) Given that a car accident was caused by speeding, calculate the probability that the driver was at least 25 years old. (e) If two car accidents are randomly chosen (without replacement), calculate the A probability that they are both caused by careless driving.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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(d) Given that a car accident was caused by speeding, calculate the probability that
the driver was at least 25 years old.
(e) If two car accidents are randomly chosen (without replacement), calculate the
probability that they are both caused by careless driving.
Transcribed Image Text:(d) Given that a car accident was caused by speeding, calculate the probability that the driver was at least 25 years old. (e) If two car accidents are randomly chosen (without replacement), calculate the probability that they are both caused by careless driving.
The following table represents the age of drivers (in years) and the major causes of
1481 car accidents.
Age Speeding Careless Driving
Drinking and Driving
Total
Below 25
197
278
172
647
25 and above
279
293
262
834
Total
476
571
434
1481
Round all final answers to 4 decimal places in the following questions.
(a) Find the probability that a randomly chosen car accident is caused by a careless
driver under 25 years old.
(b) Find the probability that a randomly chosen car accident is caused by either
drinking and driving or speeding.
(c) Find the probability that a randomly chosen car accident is caused by either
drinking and driving or a driver under 25 years old.
Transcribed Image Text:The following table represents the age of drivers (in years) and the major causes of 1481 car accidents. Age Speeding Careless Driving Drinking and Driving Total Below 25 197 278 172 647 25 and above 279 293 262 834 Total 476 571 434 1481 Round all final answers to 4 decimal places in the following questions. (a) Find the probability that a randomly chosen car accident is caused by a careless driver under 25 years old. (b) Find the probability that a randomly chosen car accident is caused by either drinking and driving or speeding. (c) Find the probability that a randomly chosen car accident is caused by either drinking and driving or a driver under 25 years old.
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