Conditional Probabilitymedium
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A specialized research laboratory uses two distinct sensors, Alpha and Beta, to detect seismic activity. Sensor Alpha is active 70% of the time, while Sensor Beta is active 30% of the time. Sensor Alpha detects a true earthquake with 85% reliability, whereas Sensor Beta detects it with 90% reliability. If a tremor is detected by the system, what is the probability that it was detected by Sensor Alpha?
A specialized research laboratory uses two distinct sensors, Alpha and Beta, to detect seismic activity. Sensor Alpha is active 70% of the time, while Sensor Beta is active 30% of the time. Sensor Alpha detects a true earthquake with 85% reliability, whereas Sensor Beta detects it with 90% reliability. If a tremor is detected by the system, what is the probability that it was detected by Sensor Alpha?