The following table represents the age of drivers (in years) and the major causes of 1210 car accidents. Age Speeding Careless Driving Drinking and Driving Total Below 25 226 209 271 706 25 and above 74 256 174 504 Total 300 465 445 1210 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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Probability theory 

The following table represents the age of drivers (in years) and the major causes of 1210
car accidents.
Age Speeding Careless Driving Drinking and Driving Total
Below 25
226
209
271
706
25 and above
74
256
174
504
Total
300
465
445
1210
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.
Transcribed Image Text:The following table represents the age of drivers (in years) and the major causes of 1210 car accidents. Age Speeding Careless Driving Drinking and Driving Total Below 25 226 209 271 706 25 and above 74 256 174 504 Total 300 465 445 1210 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.
Information is collected from 96 people that are unvaccinated, vaccinated with one dose
or two doses of a Covvid-19 vaccination from a random geographic location. This data
is summarized below according to their vaccination status and age-group.
12 to 29 years
30 to 49 years 50 years and above
Total
Unvaccinated
5
20
14
39
Single Dose
13
2
21
Two Doses
18
15
3
36
Total
29
48
19
96
If one person is chosen at random, find the probability that the person is NOT [50 years
and above of age and has vaccinated status of 'Unvaccinated' ]
Round your answer to 3 decimal places.
Transcribed Image Text:Information is collected from 96 people that are unvaccinated, vaccinated with one dose or two doses of a Covvid-19 vaccination from a random geographic location. This data is summarized below according to their vaccination status and age-group. 12 to 29 years 30 to 49 years 50 years and above Total Unvaccinated 5 20 14 39 Single Dose 13 2 21 Two Doses 18 15 3 36 Total 29 48 19 96 If one person is chosen at random, find the probability that the person is NOT [50 years and above of age and has vaccinated status of 'Unvaccinated' ] Round your answer to 3 decimal places.
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