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A machine is composed of 4 components that work independently and each component has its useful...

A machine is composed of 4 components that work independently and each component has its useful life related to an exponential model with an average of 3 years. It is known that the machine only works when the 4 components are in perfect condition. Determine the machine's service life density. Also calculate the probability that the machine's service life will exceed 4 years

Math   Statistics-And-Probability   
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The detailed solution is given in the pictures below.

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