Question 1166428: The following table represents the age of drivers (in years) and the major causes of 1318 car accidents.
Age Speeding Careless Driving Drinking and Driving Total
Below 25 278 77 285 640
25 and above 296 204 178 678
Total 574 281 463 1318
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.
(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
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Age Speed Careless Drinking and Driving Total
Below 25 278 77 285 640
25 and above 296 204 178 678
Total 574 281 463 1318
a. 77/1318 or 0.0584. The others I will leave in fractional form and they can be converted to decimal.
b. the two add to 1037, and there is no double counting. The fraction is 1037/1318
c. Drinking and Driving is 463, driver under 25 is 640. Both (double counted) is 285 and is subtracted
so the fraction is 818/1318
d. given speeding (574 denominator) at least 25 is 296, so fraction is 296/574.
e. careless driving is 281/1318 or 0.2132. Both would be 0.2132^2 or 0.0455
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