The information in the folowing two way contingency table relates the make of a
ID: 3159578 • Letter: T
Question
The information in the folowing two way contingency table relates the make of a new light vehicle (American, Asian, European) and the age of the person
1) The probability that a randomly seleted new light vehicle is a European make is about?
a) 0.45
b) 0.11
c) 0.23
d) 0.32
e) 0.18
2) The probability that a randomly seleted new light vehicle is a European make, given that the purchaser is 65 and older, is about?
a) 0.01
b) 0.11
c) 0.05
d) 0.23
e) 0.18
18-34 35-64 65 and older American 0.06 0.31 0.10 Asian 0.05 0.30 0.07 European 0.01 0.05 0.05Explanation / Answer
The information in the folowing two way contingency table relates the make of a new light vehicle (American, Asian, European) and the age of the person.
The complete contingency table is,
1) The probability that a randomly seleted new light vehicle is a European make is about?
That is we have to find P(randomly seleted new light vehicle is a European make) = 0.11
Option b) is correct.
2) The probability that a randomly seleted new light vehicle is a European make, given that the purchaser is 65 and older, is about?
That is here we have to find P(a randomly seleted new light vehicle is a European make / he purchaser is 65 and older) = P(a randomly seleted new light vehicle is a European make and he purchaser is 65 and older) / P(he purchaser is 65 and older)
P(a randomly seleted new light vehicle is a European make and he purchaser is 65 and older) = 0.05
P(he purchaser is 65 and older) = 0.22
P(a randomly seleted new light vehicle is a European make / he purchaser is 65 and older) = 0.05/0.22 = 0.23
Option d) is correct.
18-34 34-64 65 and older total American 0.06 0.31 0.1 0.47 Asian 0.05 0.3 0.07 0.42 European 0.01 0.05 0.05 0.11 total 0.12 0.66 0.22 1Related Questions
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