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An image is partitioned into two regions, one white and the other black. A reading taken from a randomly chosen point in the white section

An image is partitioned into two regions, one white and the other black. A reading taken from a randomly chosen point in the white section will be normally distributed with mean 4, Variance = 4,whereas one taken from a randomly chosen point in the black region will have a normally distributed reading with parameters (6, 9). A point is randomly chosen on the image and has a reading of 5. If the fraction of the image that is black is for what value of would the probability of making an error be the same, regardless of whether one concluded that the point was in the black region or in the white region?

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