Q1) The random variable V has PMF Pv (v) = cv² v= 1,2,3,4, otherwise. a) Find the value of the constant c. b) Find P [V = { u² | u = 1,2,3, · · · }]. c) Find the probability that V is an even number. d) Find P[V> 2].

Q1. The initial values of i, and iz in the circuit shown are +3 A and -5 A, respectively. The voltage terminals of the parallel inductors for tt > 0 is –30e-5t (a) If the parallel inductors are replaced by a single inductor, what is its inductance? (b) What is the initial current and its reference direction in the equivalent inductor? (c) Use the equivalent inductor to find i(t). (d) Find i, (t) and iz(t). Verify that the solutions for i, (t),iz (t) and i(t) satisfy Kirchhoff's current law. i(1) i,(1)360 mH i(13240 mH Figure 1

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Step 2 Given that x (t) = t (x) ...(2) Generallized equation, Here, the equation states that given si(t) =t(x), but the original equation is c(t) = txe(t) What does this change? x (t) = A (x) ...(3) Now compare equation (2) and (3), A = t .(4) Now put equation (4) in equation (1),