Consider a system with 4 independent stages, each of which must function correctly in succession for the

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Consider a system with 4 independent stages, each of which must function correctly in succession for the system to operate properly. In other words, stage 1 must function correctly, then stage 2 must function correctly, then stage 3 must function correctly, and then stage 4 must function correctly. If any of the stages fail to function correctly, the system fails.

The reliability at initiation (when we attempt to use it) for stage 1 is .9773, stage 2 is .8899, stage 3 is .9913, and stage 4 is .9884.

The system reliability at initiation is_____. Round your answer to 4 decimal places and do not include a leading zero.