1. In a study of fatal car accidents, some accidents were attributed to high speed or...
1. In a study of fatal car accidents, some accidents were attributed to high speed or drunk driving.
a. The probability that the fatality was attributed to high speeds was 0.57.
b. The probability that the fatality was attributed to drunk driving was 0.62.
c. The probability that high speed and drunk driving caused the accident was 0.41.
a. What is the probability that a fatal accident will be attributed to high speeds or drunk driving?
b. What is the probability that a fatal accident will be attributed to neither cause?
c. What is the probability that the fatality will be attributed to drunk driving, but not high speeds?
Homework Answers
Since
P(A)=0.57 and P(B)=0.62 also
P(A and B)=0.41
Hence the Venn diagaram is as below
So, a) P(A or B)= P(A)+ P(B)--(A and B)
Also from Venn diagram
=(0.62+0.57)-0.41= 0.7 8
b) The Probability that fatal accident attributed to neither cause
1-P(A or B)
=1-0.78=
=0.22
C) probability that the fatality will be attributed to drunk not to high speed can be concluded from Venn diagram as
0.62-0.41= 0.21
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12
1.309
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5
0
3
12
2.539
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9
2.003
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11
2.034
6
14
4.08
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2.639
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13
2.719
12
18
3.128
13
10
1.676
14
17
3.769
15
14
2.639
16
13
1.449
17
12
3.121
18
10
2.616
19
9
0.788
20
14
2.631
21
10
1.887
22
12
1
23
9
0.652
24
12
1.209
25
15
0.775...
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