Suppose a 5-bit message is transmitted from a source to a destination through…
2025
Suppose a 5-bit message is transmitted from a source to a destination through a noisy channel. The probability that a bit of the message gets flipped during transmission is 0.01. Flipping of each bit is independent of one another. The probability that the message is delivered error-free to the destination is ______ . (rounded off to three decimal places)
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Correct answer: 0.949 to 0.952
Each bit has:
Probability of flipping (error) = 0.01
Probability of not flipping (correct) = 0.99
Message length = 5 bits
Bits flip independently.
To receive the entire 5-bit message error-free, all 5 bits must be correct:
P(no error)=(0.99)5
Compute:
0.995=0.9510
Rounded to three decimal places:
0.951
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