The break in an electric circuit occurs when at least one out of three elements connected in series is out of order. Compute the probability that the break in the circuit will not occur if the elements may be out of order with the respective probabilities 0.3, 0.4 and 0.6. How does the probability change if the first element is never out of order?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 30CT: In a batch of 20 tires, 2 are known to be defective. If 4 tires are chosen at random, find the...
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The break in an electric circuit occurs when at least one out of
three elements connected in series is out of order. Compute the
probability that the break in the circuit will not occur if the
elements may be out of order with the respective probabilities 0.3,
0.4 and 0.6. How does the probability change if the first element is
never out of order?
Transcribed Image Text:The break in an electric circuit occurs when at least one out of three elements connected in series is out of order. Compute the probability that the break in the circuit will not occur if the elements may be out of order with the respective probabilities 0.3, 0.4 and 0.6. How does the probability change if the first element is never out of order?
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