Discrete-time:Problem 1: Consider an LTI system with the input x[n] = u[n - 3] and the impulse response h[n] = 0.8^n u[n - 2]. Determine and plot the output y[n] of the system.Problem 2: Let an LTI system have the impulse responseh[n] = 2^-n u[n].Determine whether this system is memoryless, causal, stable, and invertible.Problem 3: Impulse responses of LTI systems can be physically found by inputting x[n] = δ[n] to the system and measuring the output (the output would be precisely the impulse re
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