A component is subject to two independent tests A and B. The probability that a component passes test A is 30% and that it passes test B is 40%. Determine the probability a randomly chosen component: does not pass test A - does not pass test B fail test A and fail test B - passes both tests, A and B - passes at least one test.
A component is subject to two independent tests A and B. The probability that a component passes test A is 30% and that it passes test B is 40%. Determine the probability a randomly chosen component: does not pass test A - does not pass test B fail test A and fail test B - passes both tests, A and B - passes at least one test.
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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Transcribed Image Text:A component is subject to two independent tests A
and B. The probability that a component passes test
A is 30% and that it passes test B is 40%. Determine
the probability a randomly chosen component:
a. does not pass test A
b. does not pass test B
c. fail test A and fail test B
. passes both tests, A and B
e. passes at least one test.
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