A space vehicle has an independent backup system for one of its communication networks. The probability that either system will function satisfactorily during a flight is 0.982. (Round your answers to four decimal places.) (a) What is the probability that during a given flight both systems function satisfactorily? (b) What is the probability that during a given flight both systems fail? (c) What is the probability that during given flight at least one system functions satisfactorily?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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8.7 q.13 Please fill in the blank box with the correct answer, thank you. 

A space vehicle has an independent backup system for one of its communication networks. The probability that either system will function satisfactorily during a flight is 0.982. (Round your answers to four decimal places.)
(a) What is the probability that during a given flight both systems function satisfactorily?
(b) What is the probability that during a given flight both systems fail?
(c) What is the probability that during a given flight at least one system functions satisfactorily?
Transcribed Image Text:A space vehicle has an independent backup system for one of its communication networks. The probability that either system will function satisfactorily during a flight is 0.982. (Round your answers to four decimal places.) (a) What is the probability that during a given flight both systems function satisfactorily? (b) What is the probability that during a given flight both systems fail? (c) What is the probability that during a given flight at least one system functions satisfactorily?
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