Suppose that the length W of a mans life does follow the Gompertz distribution with (w) = a(1.1)w = ae(ln 1.1)w, P(63 < W < 64) = 0.01. Determine the constant a and P(W 71 | 70 < W).

▯▯▯▯▯ ▯▯ ▯ ▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯▯▯▯▯ ▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯ ▯ ▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯▯ ▯▯▯▯▯ ▯▯ ▯▯▯ ▯▯▯▯▯▯ ▯▯ ▯▯ ▯▯▯▯ ▯▯▯ ▯▯ ▯ ▯▯▯▯▯ ▯▯ ▯ ▯▯▯▯▯▯▯ ▯▯ ▯▯ ▯▯ ▯▯ ▯▯ ▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯ ▯▯ ▯▯ ▯▯▯ ▯▯ ▯▯ ▯▯▯▯▯ ▯▯▯ ▯▯▯▯▯▯▯ ▯▯ ▯ ▯▯▯ ▯▯▯▯▯▯▯▯ ▯▯ ▯▯▯▯▯ ▯▯ ▯▯▯ ▯▯▯▯ ▯ ▯▯▯▯▯▯ ▯▯ ▯ ▯▯▯▯ ▯▯ ▯▯▯ ▯ ▯ ▯▯▯▯▯▯▯▯▯▯ ▯ ▯▯▯▯▯▯▯ ▯▯ ▯▯ ▯▯▯▯▯▯▯▯ ▯▯▯▯ ▯▯ !▯ ▯ ▯▯ ▯ ▯▯ ▯▯ ▯▯▯▯▯ ▯ ▯▯ ▯▯ "▯▯▯▯▯# ▯▯▯▯▯▯▯ ▯▯ ▯▯ ▯ ▯▯▯▯▯ ▯▯ ▯▯▯▯▯ ▯▯▯▯▯ ▯▯ ▯▯ ▯▯▯▯▯▯▯▯▯▯▯▯▯ ▯▯ ▯ $$$$$$$ ▯ ▯▯▯▯ ▯ #▯▯▯▯▯▯▯▯▯ ▯▯ ▯▯ ▯▯ ▯▯ ▯▯▯▯▯▯▯▯▯ ▯▯ ▯▯▯▯▯▯ ▯▯ ▯▯ ▯▯▯▯▯ ▯▯▯ ▯▯ ▯ ▯▯% ▯▯▯▯ ▯▯▯ ▯▯▯▯▯▯▯▯▯ ▯ ▯ ▯▯▯▯▯▯ ▯▯ ▯▯▯ ▯▯ ▯▯▯▯ ▯▯▯▯ ▯▯▯▯▯ ▯▯ ▯▯ ▯▯▯▯▯▯ ▯▯ ▯▯ ▯▯% ▯▯▯ ▯▯ &▯▯ ▯ ▯▯▯ ' ▯