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A puzzle of two unreliable sensors

Suppose you are trying to measure a value P and you have two unreliable sensors. Sensor A returns 0.5P + 0.5U, where U is uniform random noise over the same domain as P. Sensor B will return either P or U with 50% likelihood. In other words, sensor A is a noisy measurement of your variable, and B is sometimes the correct value and sometimes pure noise. If we have the readings of both sensor A and sensor B, what can we say about P? Let’s make a graph to give us some intuition. Given 100 samples o...

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