Solve and select the correct answer: 1. The distribution function for random variable X with p(x) = 2e-2x for x>0 is- (a) 1-e-2x (b) e+2x (c) e-2x (d) 1 + e −2x 2. The system function for discrete-time causal system which described by the difference equation y (n) = 2x(n) – 3y(n - 1) is z (a) H(z): (z+1)² 2z (b) H(z) = = (z-1)² (c) H(z): = 2z z+3 2z (d) H(z) = (z+3)² 3. The Z-Transform of the sequence x(n) = {ne" u(n) } and its ROC is ze-1 (a) X(z): = (2-1)² ' |z|<1 (b)X(z) = = ze-1 (ze-1-1)² , z> e¹ (c) X(z) = = ze¹ ze¹-1 ·,|z|> e¯¹. (d) X(z) =,|z|< 1 4. The unit step response for LTI system which has impulse response h(t) = e¹ u(t) is. (a) (1-e) u(t) (b) (1+ e² ) u(t) (c) u(t) (d) e-tu(t) 5. The Eigen values for the matrix [3 10 A= are L2 4 (a) λ₁ = 8, λ₂ = 1 (b) λ₁ = -8, λ₂ = 1 (c) λ₁ = 8, λ₂ = -] (d) λ₁ = 8, λ₂ = -2

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Solve and select the correct answer:
1. The distribution function for random variable X with p(x) = 2e-2x for x>0 is-
(a) 1-e-2x
(b) e+2x
(c) e-2x
(d) 1 + e −2x
2. The system function for discrete-time causal system which described by the difference
equation y (n) = 2x(n) – 3y(n - 1) is
z
(a) H(z):
(z+1)²
2z
(b) H(z) = =
(z-1)²
(c) H(z):
=
2z
z+3
2z
(d) H(z)
=
(z+3)²
3. The Z-Transform of the sequence x(n) = {ne" u(n) } and its ROC is
ze-1
(a) X(z):
=
(2-1)²
'
|z|<1 (b)X(z) =
=
ze-1
(ze-1-1)²
, z> e¹ (c) X(z) =
=
ze¹
ze¹-1
·,|z|> e¯¹.
(d) X(z) =,|z|< 1
4. The unit step response for LTI system which has impulse response h(t) = e¹ u(t) is.
(a) (1-e) u(t)
(b) (1+ e² ) u(t)
(c) u(t)
(d) e-tu(t)
5. The Eigen values for the matrix
[3
10
A=
are
L2
4
(a) λ₁ = 8, λ₂ = 1
(b) λ₁ = -8, λ₂ = 1
(c) λ₁ = 8, λ₂ = -]
(d) λ₁ = 8, λ₂ = -2
Transcribed Image Text:Solve and select the correct answer: 1. The distribution function for random variable X with p(x) = 2e-2x for x>0 is- (a) 1-e-2x (b) e+2x (c) e-2x (d) 1 + e −2x 2. The system function for discrete-time causal system which described by the difference equation y (n) = 2x(n) – 3y(n - 1) is z (a) H(z): (z+1)² 2z (b) H(z) = = (z-1)² (c) H(z): = 2z z+3 2z (d) H(z) = (z+3)² 3. The Z-Transform of the sequence x(n) = {ne" u(n) } and its ROC is ze-1 (a) X(z): = (2-1)² ' |z|<1 (b)X(z) = = ze-1 (ze-1-1)² , z> e¹ (c) X(z) = = ze¹ ze¹-1 ·,|z|> e¯¹. (d) X(z) =,|z|< 1 4. The unit step response for LTI system which has impulse response h(t) = e¹ u(t) is. (a) (1-e) u(t) (b) (1+ e² ) u(t) (c) u(t) (d) e-tu(t) 5. The Eigen values for the matrix [3 10 A= are L2 4 (a) λ₁ = 8, λ₂ = 1 (b) λ₁ = -8, λ₂ = 1 (c) λ₁ = 8, λ₂ = -] (d) λ₁ = 8, λ₂ = -2
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