Question 01 A transmitter sends a signal voltage X 2 with p

Question #01: A transmitter sends a signal voltage X = +2 with probability 0.4 and a signal voltage X = -2 with probability 0.6. The signal is corrupted by a noise N given by a Gaussian rv with mean 3 and s.d.2. Find the pdf of the received signal Y = X + N. Question #02: Find 1. Can you write F(x) in terms of step function u(x)? Can you describe how the probability is distributed in terms of pdf? Question #03: The number of private messages intercepted by a spy station in any given day is given by a Poisson rv. The station averages 3 intercepted messages per day. Find the probability of Intercepting at least 1 message on a given day Intercepting at least 1 message on exactly 3 days in a (7 day) week.

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