7.1.12 Suppose that for statistical model {fo : 0 = [0, 1]}, we assign the prior density , which is uniform on 2 = [0, 1]. Now suppose we are interested primarily in making inferences about 02. (a) Determine the prior density of 02. Is this distribution uniform? (b) A uniform prior distribution is sometimes used to express complete ignorance about the value of a parameter. Does complete ignorance about the value of a parameter imply complete ignorance about a function of a parameter? Explain.