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In: Statistics and Probability

According to a​ survey, the probability that a randomly selected worker primarily drives a car to...

According to a​ survey, the probability that a randomly selected worker primarily drives a car to work is 0.896. The probability that a randomly selected worker primarily takes public transportation to work is 0.033. Complete parts​ (a) through​ (d).

(a) What is the probability that a randomly selected worker primarily drives a car or takes public transportation to​ work? ​P(worker drives a car or takes public transportation to ​work)equals nothing ​(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 car nor takes public transportation to​ work? ​P(worker neither drives a car nor takes public transportation to ​work)equals nothing ​(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 car to​ work? ​P(worker does not drive a car to ​work)equals nothing ​(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. No. The probability a worker primarily​ drives, walks, or takes public transportation would be less 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 greater 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.

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