4. Let X have uniform distribution on the interval (0,2), and let the distribution of Y given X be uniform on the interval (0,1/X). Determine P(Y1ifx1 where >1 is an unknown parameter. (a) For a fixed >1, determine the density function f. (b) For a fixed observation x1,,xn, determine the value of the Likelihood function L(x1,,xn). (c) Give a maximum likelihood estimate for the parameter . Note: For some observations, the correctly evaluated estimate will turn out to be less than 1