Ahypercube with side length 1 in d dimensions is defined to be the set of points (x1, x2, xd) such that for all j = 1, 2, d. the boundary of the hypercube is defined to be the set of all points such that there exists a j for which or (namely, the boundary is the set of all points that have at least one dimension in the most extreme 10% of possible values). what proportion of the points in a hypercube of dimension 50 are in the boundary? (hint: you may want to calculate the volume of the non-boundary region) give your answer as a value between 0 and 1 with 3 significant digits.