For some 0 € (0, 1), define the density on the interval (0, 2): 0 V € (0,1], ƒ (x|0) = { 1-0 Vr (1,2). (a) Verify that f(x0) is a probability density function and draw a picture of it for 0 = ³/₁ Suppose X₁,..., Xn is a random sample from f(x|0). (b) Compute the method of moments estimate for 0.

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