[15] The uniform distribution over the continuous sample space S = {0, 1}, the set of one-way infinite binary sequences (the half-open interval of

[15] The uniform distribution λ over the continuous sample space S = {0, 1}∞, the set of one-way infinite binary sequences (the half-open interval of real numbers [0, 1)), is described in Example 1.6.5.

Let the Ln’s be as before. Show that λ(Γx) = Ll(x)(x), for all x = {0, 1}∗.