Question

According to a​ survey, the probability that a randomly selected worker primarily drives a van to work is 0.798. The probability that a randomly selected worker primarily takes public transportation to work is 0.067. Complete parts​ (a) through​ (d).

​ (a) What is the probability that a randomly selected worker primarily drives a van or takes public transportation to​ work? ​P(worker drives a van or takes public transportation to ​work)=___ ( integer or decimal rounded to three decimal places as​ needed.) ​

(b) What is the probability that a randomly selected worker primarily neither drives a van nor takes public transportation to​ work? P(worker neither drives a van nor takes public transportation to ​work)= __? (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 van to​ work? ​P(worker does not drive a van to ​work)=___?(integer or decimal rounded to three decimal places as​ needed.)

​(d) Can the probability that a randomly selected worker primarily walks to work equal 0.25​? Why or why​ not?

A.No. The probability a worker primarily​ drives, walks, or takes public transportation would be greater than 1.

B.Yes. The probability a worker primarily​ drives, walks, or takes public transportation would equal 1.

C.No. The probability a worker primarily​ drives, walks, or takes public transportation would be less than 1.

D.Yes. If a worker did not primarily drive or take public​ transportation, the only other method to arrive at work would be to walk.

Answer 1

a)probability that a randomly selected worker primarily drives a van or takes public transportation to​ work =0.798+0.067 =0.865

b)probability that a randomly selected worker primarily neither drives a van nor takes public transportation to​ work =1-0.865 =0.135

c)

probability that a randomly selected worker primarily does not drive a van to​ work

=1-0.798 =0.202

d)

A.No. The probability a worker primarily​ drives, walks, or takes public transportation would be greater than 1.