Question 19.15: It is desired to drive a digital system with a clock period ......

The clock period will be less than 1 ns whenever the period jitter J_{k} \lt -0.1~ ns . The PDF of J_{k} is,

f_{J}(t) = \frac{1}{(5 · 10^{-12})\sqrt{2\pi } }exp \left\lgroup- \frac{t^{2}}{5 · 10^{-25}} \right\rgroup

Hence, the probability that the clock period is less than 1 ns is given by the integral of f_{J}(t) over the range -∞ tp -100ps.

\int\limits_{-∞}^{-10^{-10}s}{f_{J}(t)  ·  dt} = 2.75  ·  10^{-89}