In: Statistics and Probability
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.