Consider the integral process \{Z (t)\} defined by
Z (t) =\int_{-\infty}^{t}{X(s)ds}for X (t) equal to some random variable A in the time increment 0 \leq t \leq \Delta , and equal to zero elsewhere. Find the mean-value function of \left\{Z (t)\right\} , the cross correlation function of \left\{X (t)\right\} and \left\{Z (t)\right\} , and the autocorrelation function for \left\{Z (t)\right\}.