For a gas burner to work without failure, one of two identical fans, the burner, and the

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For a gas burner to work without failure, one of two identical fans, the burner, and the controls must function without failure. The reliability of a fan is 0.9. The reliability of the burner is 0.98. The reliability of the control system is 0.85. These reliabilities are given for a period of 5 years. Assume that the failure of each of the listed components is independent of any other failure.

Calculate the reliability of the furnace system over a 5-year period.

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