107. A subject is allowed a sequence of glimpses to detect a target. Let Gi {the...

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107. A subject is allowed a sequence of glimpses to detect a target. Let Gi  {the target is detected on the ith glimpse}, with pi  P(Gi

). Suppose the Gis are independent events and write an expression for the probability that the target has been detected by the end of the nth glimpse. [Note:

This model is discussed in “Predicting Aircraft Detectability,” Human Factors, 1979: 277–291.]

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