2. X₁ noisy channel X, P(X=0|X=0)=0.6, P(X+1=0|X₁=1)=0.3, (a) Find P(X₂=1). (c) Find P(X₁=0|X₂=1). noisy channel X₂ k+1 Given P(X₁=0)=0.2, P(X₁=1)=0.8 and for all 1≤k≤n, P(X=1|X, =0)=0.4 P(X+₁=1|X, =1)=0.7. (b) Find P(X₂=1). (d) Find lim P(X=0). 11-00

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2.
X₁
noisy
channel
X₂
X₂
X
noisy
channel
Given P(X₁=0)=0.2, P(X₁=1)=0.8 and for all 1≤k≤n,
P(X+1=0|X=0)=0.6,
P(X+1=0|X₁=1)=0.3,
k+1
P(X=1|X=0)=0.4
P(X=1|X=1)=0.7.
(b) Find P(X₂=1).
(a) Find P(X₂=1).
(c) Find P(X₁=0|X₂=1). (d) Find lim P(X=0).
11-00
Transcribed Image Text:2. X₁ noisy channel X₂ X₂ X noisy channel Given P(X₁=0)=0.2, P(X₁=1)=0.8 and for all 1≤k≤n, P(X+1=0|X=0)=0.6, P(X+1=0|X₁=1)=0.3, k+1 P(X=1|X=0)=0.4 P(X=1|X=1)=0.7. (b) Find P(X₂=1). (a) Find P(X₂=1). (c) Find P(X₁=0|X₂=1). (d) Find lim P(X=0). 11-00
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