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3. A heavy equipment can break down for many possible reasons, two of which are human error and engine failure. For a given construction project, it is known that: • The probability of engine failure is 0.008. The probability of human error is 0.001. • Given engine failure, the probability of heavy equipment break down is 0.98. • Given human error, the probability of heavy equipment break down is 0.45. Given any other reason of failure, the probability of heavy equipment break down is zero. Determine the probability that a heavy equipment breaks down.

3. A heavy equipment can break down for many possible reasons, two of which are human error and engine failure. For a given construction project, it is known that: • The probability of engine failure is 0.008. The probability of human error is 0.001. • Given engine failure, the probability of heavy equipment break down is 0.98. • Given human error, the probability of heavy equipment break down is 0.45. Given any other reason of failure, the probability of heavy equipment break down is zero. Determine the probability that a heavy equipment breaks down.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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3. A heavy equipment can break down for many possible reasons, two of which are human error and engine failure. For a given construction project, it is known that: The probability of engine failure is 0.008. The probability of human error is 0.001. Given engine failure, the probability of heavy equipment break down is 0.98. Given human error, the probability of heavy equipment break down is 0.45. Given any other reason of failure, the probability of heavy equipment break down is zero. Determine the probability that a heavy equipment breaks down.
Transcribed Image Text:3. A heavy equipment can break down for many possible reasons, two of which are human error and engine failure. For a given construction project, it is known that: The probability of engine failure is 0.008. The probability of human error is 0.001. Given engine failure, the probability of heavy equipment break down is 0.98. Given human error, the probability of heavy equipment break down is 0.45. Given any other reason of failure, the probability of heavy equipment break down is zero. Determine the probability that a heavy equipment breaks down.
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