8. The input to a low pass filter with impulse response h(t) = exp(-10t)u(t) is white, Gaussian noise with single-sided power spectral density 1 watts/Hz. Obtain the following: (a) The mean of the output (b) The autocovariance function of the output (c) The pdf of the output at a single time instant to (d) The joint pdf of the output at time instants to and to +0.1