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Kaufman’s slide 11 contains conceptual curves.  Each of the 3 is labeled differently, according to the probability of attack of the aircraft carrier.  So each of the 3 is a ‘constant-probability’ curve.  That means that as you move along one of the curves, you can trade off between number of anti-submarine ships assigned and the quality of sailor life.  Since each of these candidates for trade-off has  associated \$ (gain or loss) to achieve the change, dollar costs can be traded as you move along the curve.

Or, if you don’t start out on a curve but rather at point A or B, investment of dollars can be used to achieve gains in either # ships or sailor quality of life.  (As Kaufman portrays it — but he’s still working at only the conceptual level — the same \$ amount invested at either point A or B achieves different changes in probability depending on whether you choose to move in the X or Y direction.)
His 3 conceptual curves are drawn by holding the quality of the training school fixed.  What that means is the probability also depends on school quality, but visualizing probability changes in 3 dimensions would be too tough.  (It’s tough enough in 2 dimensions already, right?)

What K meant by the term ‘moments of the distribution’ on his slide 9.  That’s math-talk for features of a collection of data.  For example, if I collected data on your heights, I’d get a range of numbers running from about 5′ to about 6’4″.     There  would be clumps of heights near 5’6″ and near 6’1″.  So the ‘moments of that distribution’ would be ‘2 clumps’ and an overall average of 5’8″ or something similar.

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