The California Highway Patrol (CHP) routinely compiles car crash data in California. The accompanying table shows a

Question:

The California Highway Patrol (CHP) routinely compiles car crash data in California. The accompanying table shows a portion of the data for Santa Clara county. It shows information on the type of car crash (Head-On or Not Head-On) and light (Daylight or Not Daylight). 


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a. Use the data to construct a contingency table. 


b. Find the probability that a randomly selected car crash is a head-on. 


c. Find the probability that a randomly selected car crash is at daylight. 


d. Find the probability that the car crash is a head-on, given daylight. Find the corresponding probability given not daylight. 


e. Is crash related to light? Explain using probabilities.


IDCrash TypeLight Condition
1Not Head-OnNot Daylight
2Not Head-OnDaylight
3Not Head-OnNot Daylight
4Not Head-OnNot Daylight
5Not Head-OnDaylight
6Not Head-OnDaylight
7Not Head-OnDaylight
8Not Head-OnDaylight
9Not Head-OnNot Daylight
10Not Head-OnNot Daylight
11Not Head-OnNot Daylight
12Not Head-OnDaylight
13Not Head-OnDaylight
14Not Head-OnNot Daylight
15Not Head-OnNot Daylight
16Not Head-OnDaylight
17Not Head-OnDaylight
18Not Head-OnDaylight
19Not Head-OnDaylight
20Not Head-OnDaylight
21Not Head-OnNot Daylight
22Not Head-OnDaylight
23Not Head-OnDaylight
24Not Head-OnDaylight
25Not Head-OnDaylight
26Not Head-OnNot Daylight
27Not Head-OnDaylight
28Not Head-OnDaylight
29Not Head-OnDaylight
30Not Head-OnNot Daylight
31Not Head-OnDaylight
32Not Head-OnDaylight
33Not Head-OnNot Daylight
34Not Head-OnDaylight
35Not Head-OnNot Daylight
36Not Head-OnDaylight
37Not Head-OnDaylight
38Not Head-OnDaylight
39Not Head-OnDaylight
40Not Head-OnDaylight
41Not Head-OnNot Daylight
42Not Head-OnDaylight
43Not Head-OnNot Daylight
44Not Head-OnDaylight
45Not Head-OnNot Daylight
46Not Head-OnDaylight
47Not Head-OnNot Daylight
48Not Head-OnDaylight
49Not Head-OnNot Daylight
50Not Head-OnDaylight
51Not Head-OnNot Daylight
52Not Head-OnNot Daylight
53Not Head-OnDaylight
54Not Head-OnDaylight
55Not Head-OnDaylight
56Not Head-OnDaylight
57Not Head-OnNot Daylight
58Not Head-OnDaylight
59Not Head-OnDaylight
60Not Head-OnDaylight
61Not Head-OnDaylight
62Not Head-OnDaylight
63Not Head-OnDaylight
64Not Head-OnDaylight
65Not Head-OnDaylight
66Not Head-OnDaylight
67Head-onDaylight
68Not Head-OnDaylight
69Not Head-OnDaylight
70Not Head-OnDaylight
71Head-onDaylight
72Not Head-OnNot Daylight
73Not Head-OnNot Daylight
74Not Head-OnDaylight
75Not Head-OnNot Daylight
76Not Head-OnDaylight
77Not Head-OnNot Daylight
78Not Head-OnNot Daylight
79Head-onNot Daylight
80Not Head-OnDaylight
81Not Head-OnDaylight
82Not Head-OnDaylight
83Not Head-OnDaylight
84Not Head-OnNot Daylight
85Not Head-OnNot Daylight
86Not Head-OnDaylight
87Not Head-OnDaylight
88Not Head-OnDaylight
89Not Head-OnDaylight
90Not Head-OnNot Daylight
91Not Head-OnDaylight
92Not Head-OnDaylight
93Not Head-OnDaylight
94Not Head-OnNot Daylight
95Not Head-OnDaylight
96Not Head-OnDaylight
97Not Head-OnDaylight
98Not Head-OnDaylight
99Not Head-OnDaylight
100Not Head-OnNot Daylight
101Not Head-OnDaylight
102Head-onNot Daylight
103Not Head-OnDaylight
104Not Head-OnNot Daylight
105Not Head-OnDaylight
106Not Head-OnDaylight
107Not Head-OnDaylight
108Not Head-OnNot Daylight
109Not Head-OnNot Daylight
110Not Head-OnDaylight
111Not Head-OnDaylight
112Not Head-OnDaylight
113Not Head-OnDaylight
114Not Head-OnDaylight
115Not Head-OnNot Daylight
116Not Head-OnDaylight
117Not Head-OnDaylight
118Not Head-OnDaylight
119Not Head-OnNot Daylight
120Not Head-OnDaylight
121Not Head-OnDaylight
122Not Head-OnDaylight
123Not Head-OnNot Daylight
124Not Head-OnDaylight
125Not Head-OnDaylight
126Not Head-OnDaylight
127Not Head-OnDaylight
128Not Head-OnDaylight
129Not Head-OnNot Daylight
130Not Head-OnDaylight
131Not Head-OnDaylight
132Not Head-OnDaylight
133Not Head-OnDaylight
134Not Head-OnDaylight
135Not Head-OnDaylight
136Not Head-OnDaylight
137Not Head-OnNot Daylight
138Not Head-OnNot Daylight
139Not Head-OnDaylight
140Not Head-OnDaylight
141Not Head-OnDaylight
142Not Head-OnNot Daylight
143Not Head-OnDaylight
144Not Head-OnDaylight
145Not Head-OnNot Daylight
146Not Head-OnDaylight
147Not Head-OnNot Daylight
148Not Head-OnDaylight
149Not Head-OnNot Daylight
150Not Head-OnNot Daylight
151Not Head-OnNot Daylight
152Not Head-OnNot Daylight
153Not Head-OnDaylight
154Head-onNot Daylight
155Not Head-OnNot Daylight
156Not Head-OnNot Daylight
157Not Head-OnNot Daylight
158Not Head-OnDaylight
159Not Head-OnNot Daylight
160Not Head-OnDaylight
161Not Head-OnDaylight
162Not Head-OnNot Daylight
163Not Head-OnDaylight
164Not Head-OnDaylight
165Not Head-OnDaylight
166Not Head-OnNot Daylight
167Head-onNot Daylight
168Not Head-OnDaylight
169Not Head-OnNot Daylight
170Not Head-OnNot Daylight
171Not Head-OnDaylight
172Not Head-OnNot Daylight
173Not Head-OnDaylight
174Not Head-OnNot Daylight
175Not Head-OnDaylight
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