Write the following probability statements in probability notation (abbreviate a
ID: 3203765 • Letter: W
Question
Write the following probability statements in probability notation (abbreviate as needed), show the appropriate fraction with numbers plugged-in, and calculate the answer: The probability that vehicle selected at random will be a commercial vehicle The probability that a commercial vehicle selected at random will be made in the Americas The probability that a vehicle made in Italy will be a car The probability that a vehicle selected at random will be commercial when we know it is from the Americas Write the following probability statements in words, show the appropriate fraction with numbers plugged-in, and calculate the answer: P(Germany) P(Mexico and Commercial vehicle) P(Spain | European Car) P(European Car | Spain)Explanation / Answer
1)
The probability that the vehicle selected at random is a commercial vehicle:-
13365517/35338556=0.378213
2)
The probability that a commercial vehicle selected at random will be made in the Americas:-
11564176/13365517=0.865225
3)
The probability that vehicle made in Italy will be a car:-
663139/1014223=0.653839
4)
The probability that a vehicle selected at random will be commercial vehicle when we know it is from the Americas:-
11564176/20912184=0.552987
5)
P (Germany)
The probability that a vehicle selected at random would be a vehicle from Germany
6033164/35338556=0.170724
6)
P (Mexico and Commercial vehicle)
The probability that a vehicle selected at random would be a commercial vehicle from Mexico
1597415/35338556=0.045203
7)
P (Spain|European Car)
The probability that a vehicle selected at random would be a vehicle from Spain provided that it is a car
2218980/12625031=0.17576
8)
P (European Car| Spain)
The probability that a vehicle selected at random would be a european car provided that it is from Spain
2218980/2733201=0.811861
European Car Table:-
Country
Cars
Comm Veh
Total
Austria
109000
16500
125500
Belgium
369172
40168
409340
Finland
69000
53
69053
France
1553800
416200
1970000
Germany
5707938
325226
6033164
Italy
663139
351084
1014223
Netherlands
41870
2252
44122
Portugal
115468
41158
156626
Spain
2218980
514221
2733201
Sweden
188987
0
188987
UK
1587677
94479
1682156
Total
12625031
1801341
14426372
Americas Car Table:-
Country
Cars
Comm Veh
Total
Argentina
308756
224927
533683
Brazil
2018954
410509
2429463
Canada
888565
1394909
2283474
Mexico
1968054
1597415
3565469
USA
4163679
7936416
12100095
Total
9348008
11564176
20912184
Total Car Total:-
Country
Cars
Comm Veh
Total
Argentina
308756
224927
533683
Brazil
2018954
410509
2429463
Canada
888565
1394909
2283474
Mexico
1968054
1597415
3565469
USA
4163679
7936416
12100095
Austria
109000
16500
125500
Belgium
369172
40168
409340
Finland
69000
53
69053
France
1553800
416200
1970000
Germany
5707938
325226
6033164
Italy
663139
351084
1014223
Netherlands
41870
2252
44122
Portugal
115468
41158
156626
Spain
2218980
514221
2733201
Sweden
188987
0
188987
UK
1587677
94479
1682156
Total
21973039
13365517
35338556
2218980/12625031=0.17576
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