Question: The probability of a particular type of sensor functioning properly is 0.95. Consequently, a triply redundant sensor system has been proposed for a critical measurement.

The probability of a particular type of sensor functioning properly is 0.95. Consequently, a triply redundant sensor system has been proposed for a critical measurement. Thus, three independent sensors will be installed, and the median of the three measurements will be used for the alarms and control calculations. What is the probability that at least two of the sensors will be working at any time?

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