K According to a survey, the probability that a randomly selected worker primarily drives a motorcycle to work is 0.861. The probability that a randomly selected worker primarily takes public transportation to work is 0.050. 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) = (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) = (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) = (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? O A. No. The probability a worker primarily drives, walks, or takes public transportation would be less than 1. OB. No. The probability a worker primarily drives, walks, or takes public transportation would be greater than 1. C. Yes. The probability a worker primarily drives, walks, or takes public transportation would equal 1. O 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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 38E
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Question
1:37
K
According to a survey, the probability that a randomly selected worker primarily drives a motorcycle to work is 0.861.
The probability that a randomly selected worker primarily takes public transportation to work is 0.050. 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) =
(Type an integer or decimal rounded to three decimal places as needed.)
Vo) 1
2 ... 46 ...| | 10%
(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) =
(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) =
(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?
O A. No. The probability a worker primarily drives, walks, or takes public transportation would be less than 1.
B. No. The probability a worker primarily drives, walks, or takes public transportation would be greater than 1.
C. Yes. The probability a worker primarily drives, walks, or takes public transportation would equal 1.
O 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.
|||
=
O
Transcribed Image Text:1:37 K According to a survey, the probability that a randomly selected worker primarily drives a motorcycle to work is 0.861. The probability that a randomly selected worker primarily takes public transportation to work is 0.050. 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) = (Type an integer or decimal rounded to three decimal places as needed.) Vo) 1 2 ... 46 ...| | 10% (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) = (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) = (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? O A. No. The probability a worker primarily drives, walks, or takes public transportation would be less than 1. B. No. The probability a worker primarily drives, walks, or takes public transportation would be greater than 1. C. Yes. The probability a worker primarily drives, walks, or takes public transportation would equal 1. O 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. ||| = O
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