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A part within an automobile engine comprises three serially-assembled components. The failures of each component are distributed according to the following distributions: Part 1. Normal,

A part within an automobile engine comprises three serially-assembled components. The failures of each component are distributed according to the following distributions: Part 1. Normal, mean=500 hours, standard deviation=10 hours Part 2. Normal, mean=700 hours, standard deviation=50 hours Part 3. Normal, mean=600 hours, standard deviation=20 hours Calculate the part reliability at 400 hours.

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