6.) The time (in hours) to failure of a component is exponential distributed with mean 40. In a manufacturing process, the machine involved uses one of these components continuously until it fails. i.) Find the probability that a component will fail during a 12 to 18 hours shift. ii.) A component has not failed for 30 hours. Find the probability that this component lasts for at least another 30 hours.

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आँकड़ा और संभावना , 

अनुवाद के लिए कृपया संलग्न करें 

यदि आवश्यक हो तो कृपया उत्तर चरण दर चरण सूत्र, ग्राफ को शामिल करें

6.) The time (in hours) to failure of a component is exponential distributed with mean 40. In a
manufacturing process, the machine involved uses one of these components continuously until it
fails.
i.) Find the probability that a component will fail during a 12 to 18 hours shift.
ii.) A component has not failed for 30 hours. Find the probability that this component lasts for at
least another 30 hours.
Transcribed Image Text:6.) The time (in hours) to failure of a component is exponential distributed with mean 40. In a manufacturing process, the machine involved uses one of these components continuously until it fails. i.) Find the probability that a component will fail during a 12 to 18 hours shift. ii.) A component has not failed for 30 hours. Find the probability that this component lasts for at least another 30 hours.
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