The probability that an item will survive a 1000-hour mission is 0.4. If the item is oper- ating 800 hours into the mission, the probability of surviving the remaining 200 hours of the mission is 0.85. What is the probability that the item survives the initial 800 hours of the mission?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The probability that an item will survive a 1000-hour mission is 0.4. If the item is oper-
ating 800 hours into the mission, the probability of surviving the remaining 200 hours of the
mission is 0.85. What is the probability that the item survives the initial 800 hours of the
mission?
3.5
Transcribed Image Text:The probability that an item will survive a 1000-hour mission is 0.4. If the item is oper- ating 800 hours into the mission, the probability of surviving the remaining 200 hours of the mission is 0.85. What is the probability that the item survives the initial 800 hours of the mission? 3.5
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