According to a survey, the probability that a randomly selected worker primarily drives a motorcycle to work is 0.796. The probability that a randomly selected worker primarily takes public transportation to work is 0.065. Complete parts (a) through (d). .... (a) What is the probability that a randomly selected worker primarily drives a motorcycle or takes public transportation to work? P(worker drives a motorcycle or takes public transportation to work) = 0.861 (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 motorcycle nor takes public transportation to work? P(worker neither drives a motorcycle nor takes public transportation to work) = 0.139 (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 motorcycle to work? P(worker does not drive a motorcycle to work) = 0.204 (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 0.25? Why or why not? O A. Yes. The probability a worker primarily drives, walks, or takes public transportation would equal 1. OB. Yes. If a worker did not primarily drive or take public transportation, the only other method to arrive at work would be to walk. OC. 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.

MATLAB: An Introduction with Applications
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According to a survey, the probability that a randomly selected worker primarily drives a motorcycle to work is 0.796. The probability that a randomly selected worker
primarily takes public transportation to work is 0.065. Complete parts (a) through (d).
....
(a) What is the probability that a randomly selected worker primarily drives a motorcycle or takes public transportation to work?
P(worker drives a motorcycle or takes public transportation to work) = 0.861
(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 motorcycle nor takes public transportation to work?
P(worker neither drives a motorcycle nor takes public transportation to work) = 0.139
(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 motorcycle to work?
P(worker does not drive a motorcycle to work) = 0.204
(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 0.25? Why or why not?
O A. Yes. The probability a worker primarily drives, walks, or takes public transportation would equal 1.
O 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.
OC. 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.
Transcribed Image Text:According to a survey, the probability that a randomly selected worker primarily drives a motorcycle to work is 0.796. The probability that a randomly selected worker primarily takes public transportation to work is 0.065. Complete parts (a) through (d). .... (a) What is the probability that a randomly selected worker primarily drives a motorcycle or takes public transportation to work? P(worker drives a motorcycle or takes public transportation to work) = 0.861 (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 motorcycle nor takes public transportation to work? P(worker neither drives a motorcycle nor takes public transportation to work) = 0.139 (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 motorcycle to work? P(worker does not drive a motorcycle to work) = 0.204 (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 0.25? Why or why not? O A. Yes. The probability a worker primarily drives, walks, or takes public transportation would equal 1. O 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. OC. 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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