74% of fishing boats that disappear while at sea are eventually found by rescue missions. 80% of the boats that are found have an emergency GPS locator, whereas 30% of the boats that are not found have a similar locator. a. What is the probability that a lost boat has a GPS locator and will eventually be found by rescue missions? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that the next boat to disappear will have a locator on board? Answer in exact fraction, or rounded to at least 4 decimal places. c. If a boat that disappeared does not have an emergency locator, what is the probability that it will eventually be found by rescue missions?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Problem 3
74% of fishing boats that disappear while at sea
are eventually found by rescue missions. 80% of
the boats that are found have an emergency GPS
locator, whereas 30% of the boats that are not
found have a similar locator.
a. What is the probability that a lost boat has a
GPS locator and will eventually be found by
rescue missions?
Answer in exact fraction, or rounded to at least 4 decimal
places.
b. What is the probability that the next boat to
disappear will have a locator on board?
Answer in exact fraction, or rounded to at least 4 decimal
places.
c. If a boat that disappeared does not have an
emergency locator, what is the probability that it
will eventually be found by rescue missions?
Transcribed Image Text:Problem 3 74% of fishing boats that disappear while at sea are eventually found by rescue missions. 80% of the boats that are found have an emergency GPS locator, whereas 30% of the boats that are not found have a similar locator. a. What is the probability that a lost boat has a GPS locator and will eventually be found by rescue missions? Answer in exact fraction, or rounded to at least 4 decimal places. b. What is the probability that the next boat to disappear will have a locator on board? Answer in exact fraction, or rounded to at least 4 decimal places. c. If a boat that disappeared does not have an emergency locator, what is the probability that it will eventually be found by rescue missions?
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