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The engine component of a spacecraft consists of two engines, A and B. The probability that engine A works is 0.95. The probability that engine B works is 0.90. The probability that both engines work is 0.87. The engine component works if at least one of two engines works. a. The probability that engine component works is b. The probability that engine component does not work is c. The probability that component A works given that component B works is Assuming that the event "The engine A works" is denoted by A, and the event "The engine B works " is denoted by B, show your work in finding probabilities in a. b. and c

The engine component of a spacecraft consists of two engines, A and B. The probability that engine A works is 0.95. The probability that engine B works is 0.90. The probability that both engines work is 0.87. The engine component works if at least one of two engines works. a. The probability that engine component works is b. The probability that engine component does not work is c. The probability that component A works given that component B works is Assuming that the event "The engine A works" is denoted by A, and the event "The engine B works " is denoted by B, show your work in finding probabilities in a. b. and c

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. The engine component of a spacecraft consists of two engines, A and B. The probability that engine A works is 0.95. The probability that engine B works is 0.90. The probability that both engines work is 0.87. The engine component works if at least one of two engines works. a. The probability that engine component works is b. The probability that engine component does not work is c. The probability that component A works given that component B works is Assuming that the event "The engine A works " is denoted by A, and the event "The engine B works "is denoted by B, show your work in finding probabilities in a, b, and c.
Transcribed Image Text:1. The engine component of a spacecraft consists of two engines, A and B. The probability that engine A works is 0.95. The probability that engine B works is 0.90. The probability that both engines work is 0.87. The engine component works if at least one of two engines works. a. The probability that engine component works is b. The probability that engine component does not work is c. The probability that component A works given that component B works is Assuming that the event "The engine A works " is denoted by A, and the event "The engine B works "is denoted by B, show your work in finding probabilities in a, b, and c.
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