Question

According to a survey, the probability that a randomly selected worker primarily drives a bicycle to work is 0.796. The probability that a randomly selected worker primarily takes public transportation to work is 0.069. 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? (b) What is the probability that a randomly selected worker primarily neither drives a bicycle nor takes public transportation to work?

(c) What is the probability that a randomly selected worker primarily does not drive a bicycle to work? (d) Can the probability that a randomly selected worker primarily walks to work equal 0.25? Why or why not? A. Yes. The probability a worker primarily drives, walks, or takes public transportation would equal 1. B. No. The probability a worker primarily drives, walks, or takes public transportation would be less than 1. C. Yes. If a worker did not primarily drive or take public transportation, the only other method to arrive at work would be to walk. D. No. The probability a worker primarily drives, walks, or takes public transportation would be greater than 1.

Answer 1

To find the probability of driving a bicycle or taking public transportation to work, add the probabilities together. To find the probability of not driving a bicycle to work, subtract the probability of driving a bicycle from 1. The probability that a randomly selected worker primarily walks to work cannot equal 0.25 because the total probabilities already add up to more than 1.

Step-by-step explanation:

To find the probability that a randomly selected worker primarily drives a bicycle or takes public transportation to work, we add the probabilities together: 0.796 + 0.069 = 0.865. So, the probability is 0.865.

To find the probability that a randomly selected worker primarily neither drives a bicycle nor takes public transportation to work, we subtract the probability of driving a bicycle or taking public transportation from 1: 1 - 0.865 = 0.135. So, the probability is 0.135.

To find the probability that a randomly selected worker primarily does not drive a bicycle to work, we subtract the probability of driving a bicycle from 1: 1 - 0.796 = 0.204. So, the probability is 0.204.

The probability that a randomly selected worker primarily walks to work cannot equal 0.25 because the total probabilities of the given options already add up to more than 1. So, the answer is (D) No. The probability a worker primarily drives, walks, or takes public transportation would be greater than 1.