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.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 16E: Consumer Preference In a population of 100,000 consumers, there are 20,000 users of Brand A, 30,000...
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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.
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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