In: Statistics and Probability
A digital communication system transmits one of 4 equally likely signals defined via the sample space S={-3, -1, 1, 3}. Define the event A={-3, 3} as the high power signal event, B={-1, 1} as the low power signal event, C={1,3} as the positive signal event, and D={-3, -1} as the negative signal event. Describe in terms of A, B, C, and D the following events: (1) high power and positive signal, (2) low power or negative signal, (3) low power but non-negative signal.