Bits 0 and 1 are sent over an information channel. Due to noise each bit is received incorrectly with probability 0.4 independently of each other. Instead of sending a bit 0 once, it is decided to sent the same bit five times repeatedly 00000, and instead of sending a single bit 1, it is sent the same bit five times repeatedly 11111. The receiver decode a received code by choosing the most frequent bit appearing in the code - for example, 00000 – 0, 01010 → 0, 01101 → 1. (a) When a single bit is sent over information channel by using repeating method, what is the probability that a sent bit is received correctly? (b) When a million bits are sent over information channel by using repeating method, what is the expected value of incorrectly received bits? Give an exact answer or round it to three decimal places. Use dot as a decimal separator.

Bits 0 and 1 are sent over an information channel. Due to noise each bit is received incorrectly with probability 0.4 independently of each other. Instead of sending a bit 0 once, it is decided to sent the same bit five times repeatedly 00000, and instead of sending a single bit 1, it is sent the same bit five times repeatedly 11111. The receiver decode a received code by choosing the most frequent bit appearing in the code - for example, 00000 – 0, 01010 → 0, 01101 → 1. (a) When a single bit is sent over information channel by using repeating method, what is the probability that a sent bit is received correctly? (b) When a million bits are sent over information channel by using repeating method, what is the expected value of incorrectly received bits? Give an exact answer or round it to three decimal places. Use dot as a decimal separator.

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

Bits 0 and 1 are sent over an information channel. Due to noise each bit is received
incorrectly with probability 0.4 independently of each other. Instead of sending a bit 0
once, it is decided to sent the same bit five times repeatedly 00000, and instead of
sending a single bit 1, it is sent the same bit five times repeatedly 11111. The receiver
decode a received code by choosing the most frequent bit appearing in the code - for
example, 00000 → 0, 01010 –→ 0, 01101 → 1.
(a) When a single bit is sent over information channel by using repeating method, what
is the probability that a sent bit is received correctly?
(b) When a million bits are sent over information channel by using repeating method,
what is the expected value of incorrectly received bits?
Give an exact answer or round it to three decimal places. Use dot as a decimal
separator.

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