Many people swimming to St. Martin Islands from Teknaf get lost, of whom 30% are found by trained rescuers. 59% of the people who were rescued were found to carry a waterproof GPS locator, whereas 36% of the people who were not rescued were known to carry a similar locator. a. What is the probability that a randomly selected swimmer is carrying a locator? Answer in exact fraction, or rounded to at least 4 decimal places b. If a lost swimmer was carrying a GPS locator, what is the probability of them being rescued? Answer in exact fraction, or rounded to at least 4 decimal places c. If a lost swimmer was not carrying any locator, what is the probability of them not being rescued? Answer in exact fraction, or rounded to at least 4 decimal places

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Many people swimming to St. Martin Islands from Teknaf get lost, of whom 30% are found by trained rescuers. 59% of the people who were rescued
were found to carry a waterproof GPS locator, whereas 36% of the people who were not rescued were known to carry a similar locator.
a. What is the probability that a randomly selected swimmer is carrying a locator?
Answer in exact fraction, or rounded to at least 4 decimal places
b. If a lost swimmer was carrying a GPS locator, what is the probability of them being rescued?
Answer in exact fraction, or rounded to at least 4 decimal places
c. If a lost swimmer was not carrying any locator, what is the probability of them not being rescued?
Answer in exact fraction, or rounded to at least 4 decimal places
Transcribed Image Text:Many people swimming to St. Martin Islands from Teknaf get lost, of whom 30% are found by trained rescuers. 59% of the people who were rescued were found to carry a waterproof GPS locator, whereas 36% of the people who were not rescued were known to carry a similar locator. a. What is the probability that a randomly selected swimmer is carrying a locator? Answer in exact fraction, or rounded to at least 4 decimal places b. If a lost swimmer was carrying a GPS locator, what is the probability of them being rescued? Answer in exact fraction, or rounded to at least 4 decimal places c. If a lost swimmer was not carrying any locator, what is the probability of them not being rescued? Answer in exact fraction, or rounded to at least 4 decimal places
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