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.

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