(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.) %3D (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) = %3D (Type an integer or decimal rounded to three decimal places as needed.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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According to a survey, the probability that a randomly selected worker primarily drives a bicycle to work is 0.733. The probability that a randomly selected worker primarily takes public transportation to work is 0.096. 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 0.30? 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 less than 1.
- D. No. The probability a worker primarily drives, walks, or takes public transportation would be greater than 1.
Transcribed Image Text:According to a survey, the probability that a randomly selected worker primarily drives a bicycle to work is 0.733. The probability that a randomly selected worker primarily takes public transportation to work is 0.096. 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 0.30? 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 less than 1. - D. No. The probability a worker primarily drives, walks, or takes public transportation would be greater than 1.
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