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?

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?

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Description: 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 themission is 0.85. What is the probability that the item survives th

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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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