Generation and testing of a random pulse train. consider a pulse train x(t) with an amplitude a that is time-invariant and uniformly distributed over (0,1); that is, a ~ w(0,1). the pulse has a constant width that is 0.5 second and the period is 1 second. (a) write a matlab routine random_pulse_a. m to generate 100 discrete-time sequences x[n] that are sampled versions (with 10 hz sampling rate) of the sample functions of the random pulse train x(t) for time period from zero to 5 seconds. plot two of these sequences in two separate plots. (b) find the average value of the 100 sequences at t = 1.4 seconds. justify your result. (c) use matlab command h i s t to plot the histogram of the 100 sequences at t = 1.4 seconds using 10 bins. justify your result. (d) use the companion software p& r to generate one sequence and plot the sequence as in part (a).