Question: A certain river floods every year. Suppose that the low-water mark is set at 1 and the high-water mark Y has distribution function (a) Verify

A certain river floods every year. Suppose that the low-water mark is set at 1 and the high-water mark Y has distribution function

(a) Verify that Fy (y) is a cdf.
(b) Find fY(y), the pdf of Y.
(c) If the low-water mark is reset at 0 and we use a unit of measurement that is 1/10 of that given previously, the high-water mark becomes Z = 10(Y - 1). Find Fz(z).

Fy(y) = P(Y < y) = 1- 1

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