5. A certain river floods every year. Suppose that the low-water mark is set at 1 and the high-water mark Y has the distribution function -{i-v-² Pr(Y ≤y)= Fy(y) = y < 1 -y-² 1≤y<∞ (a) (10/15) Verify that Fy(y) is a cumulative distribution function. (b) (5/15) Find the probability density function fy (y) of Y.

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