According to a​ survey, the probability that a randomly selected worker primarily drives a bicycle to work is 0.869   The probability that a randomly selected worker primarily takes public transportation to work is 0.041. Complete parts​ (a) through​ (d).   ​(a) What is the probability that a randomly selected worker primarily drives a bicycle or takes public transportation to​ work? P(worker drives a bicycle or takes public transportation to work)= ​(Type an integer or decimal rounded to three decimal places as​ needed.)   ​(b) What is the probability that a randomly selected worker primarily neither drives a bicycle nor takes public transportation to​ work? ​P(worker neither drives a bicycle nor takes public transportation to work)= ​(Type an integer or decimal rounded to three decimal places as​ needed.)   ​(c) What is the probability that a randomly selected worker primarily does not drive a bicycle to​ work?

Elements Of Modern Algebra
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ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
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According to a​ survey, the probability that a randomly selected worker primarily drives a bicycle to work is 0.869
 
The probability that a randomly selected worker primarily takes public transportation to work is 0.041. Complete parts​ (a) through​ (d).
 
​(a) What is the probability that a randomly selected worker primarily drives a bicycle or takes public transportation to​ work?
P(worker drives a bicycle or takes public transportation to work)=
​(Type an integer or decimal rounded to three decimal places as​ needed.)
 
​(b) What is the probability that a randomly selected worker primarily neither drives a bicycle nor takes public transportation to​ work? ​P(worker neither drives a bicycle nor takes public transportation to work)=
​(Type an integer or decimal rounded to three decimal places as​ needed.)
 
​(c) What is the probability that a randomly selected worker primarily does not drive a bicycle to​ work?
 
​P(worker does not drive a bicycle to work)=
​(Type an integer or decimal rounded to three decimal places as​ needed.)
 
​(d) Can the probability that a randomly selected worker primarily walks to work equal
0.15​?
Why or why​ not?
 
 
A.
Yes. The probability a worker primarily​ drives, walks, or takes public transportation would equal 1.
 
B.
Yes. If a worker did not primarily drive or take public​ transportation, the only other method to arrive at work would be to walk.
 
C.
No. The probability a worker primarily​ drives, walks, or takes public transportation would be greater than 1.
 
D.
No. The probability a worker primarily​ drives, walks, or takes public transportation would be less than 1.
 
 
 
 
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