A simple binary communication channel carries messages by using two signals 0 and 1.It was assumed that for a given binary channel, 40% of the time a lis transmitted; the probability that a transmitted 0 is correctly received is 0.90; the probability that lis correctly received 0.95. This information is illustrated in Figure 1 where A = event that 1 is transmitted. = event that 0 is transmitted. B = event that 1 is received. = eve t that 0 is received. A B Figure 1: A single- stage binary communication channel Determine P(B) and P(B) а. b. P(A/B) c. The stochastic matrix of the communication channel. d. If P(B/Ā) = P(C/B) and P(B/A) = P(C/B),find 3D i. P(C/B) ii. P(T/B) e. Figure 2 below illustrate information on a two- stage binary communication channel. Copy and complete the channel with the necessary probabilities.
A simple binary communication channel carries messages by using two signals 0 and 1.It was assumed that for a given binary channel, 40% of the time a lis transmitted; the probability that a transmitted 0 is correctly received is 0.90; the probability that lis correctly received 0.95. This information is illustrated in Figure 1 where A = event that 1 is transmitted. = event that 0 is transmitted. B = event that 1 is received. = eve t that 0 is received. A B Figure 1: A single- stage binary communication channel Determine P(B) and P(B) а. b. P(A/B) c. The stochastic matrix of the communication channel. d. If P(B/Ā) = P(C/B) and P(B/A) = P(C/B),find 3D i. P(C/B) ii. P(T/B) e. Figure 2 below illustrate information on a two- stage binary communication channel. Copy and complete the channel with the necessary probabilities.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:A simple binary communication channel carries messages by using two signals 0 and 1.It was assumed that for
a given binary channel, 40% of the time a lis transmitted; the probability that a transmitted 0 is correctly
received is 0.90; the probability that lis correctly received 0.95. This information is illustrated in Figure 1
where
A = event that
1 is transmitted.
= event that
0 is transmitted.
B = event that 1 is received.
= eve t that
0 is received.
A
B
Figure 1: A single- stage binary communication channel
Determine
P(B) and P(B)
а.
b. P(A/B)
c. The stochastic matrix of the communication channel.
d. If P(B/Ā)= P(C/B) and P(B/A) = P(C/B) ,find
i.
P(C/B)
ii.
P(T/B)
e. Figure 2 below illustrate information on a two- stage binary communication channel.
Copy and complete the channel with the necessary probabilities.
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