Question

In: Statistics and Probability

A plane is missing, and it is presumed that it was equally likely to have gone...

A plane is missing, and it is presumed that it was equally likely to have gone down
in any of 4 possible regions. Let 1 βi, i = 1, 2, 3, 4, denote the probability that
the plane will be found upon a search of the ith region when the plane is, in fact, in
that region. (The constants βi are called overlook probabilities, because they represent the probability of overlooking the plane; they are generally attributable to the
geographical and environmental conditions of the regions.) What is the conditional probability that the plane is in the 1st region given that a search of region 1 is
unsuccessful?

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