9. The data represent the number of driving fatalities for a certain area by age
ID: 3359105 • Letter: 9
Question
9. The data represent the number of driving fatalities for a certain area by age for male and female drivers.
Male
Female
Under 16
122
106
16-20
6091
2447
21-34
12,477
4366
35-54
12,508
5300
55-69
5546
1639
70 and over
3340
1462
(a) What is the probability that a randomly selected driver fatality who was female was 16 to 20 years old?
The probability that a randomly selected driver fatality who was female was 16 to 20 years old is approximately ___?___ (round to three decimal places as needed.)
(b) What is the probability that a randomly selected driver fatality who was 16 to 20 was female?
The probability that a randomly selected driver fatality who was 16 to 20 was female is approximately. __?___ (round to three decimal places as needed.)
(c) Is a victim of a fatal accident aged 16 to 20 more likely to be male or female? Choose the correct statement below.
MULTIPE CHOICE
A. The driver is more likely to be female because the probability is greater than 0.5.
B. The driver is more likely to be male because the probability is less than 0.5.
C. The driver is more likely to be male because the probability is greater than 0.5.
D. The driver is more likely to be female because the probability is less than 0.5
Male
Female
Under 16
122
106
16-20
6091
2447
21-34
12,477
4366
35-54
12,508
5300
55-69
5546
1639
70 and over
3340
1462
Explanation / Answer
solution=
a) What is the probability that a randomly selected driver fatality who was female was 16 to 20 years old?
P(16 20 | female) = 2447/15320 = 0.160
(b) What is the probability that a randomly selected driver fatality who was 16 to 20 was female?
P(female | 16 20) = 2447 /2447 + 6091 = 0.287
(c) Is a victim of a fatal accident aged 16 to 20 more likely to be male or female? Choose the correct statement below
A. The driver is more likely to be female because the probability is greater than 0.5.
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