Problem 1 Determine if the following signals are stationary in the wide sense. Also determine if they are ergodic in the mean. Justify your answers. a) The sample function is X(t) = A where A is a Gaussian distributed random variable with mean 1. b) Consider a random process describing the number of cars in a mall parking lot as a function of time. Each sample function describes the number of cars verses time for a different mall. e) The signal from a seismometer, which is used to measure earthquakes or other vibration of the earth, can be considered a random process. Suppose various multiple seismometers are located around a city. The signal as a function of time from a particular seismometer is a sample function of this process Problem 1 Determine if the following signals are stationary in the wide sense. Also determine if they are ergodic in the mean. Justify your answers. a) The sample function is X(t) = A where A is a Gaussian distributed random variable with mean 1. b) Consider a random process describing the number of cars in a mall parking lot as a function of time. Each sample function describes the number of cars verses time for a different mall. e) The signal from a seismometer, which is used to measure earthquakes or other vibration of the earth, can be considered a random process. Suppose various multiple seismometers are located around a city. The signal as a function of time from a particular seismometer is a sample function of this process