occur independently of one another. (Round your answers to four decimal places.) USE SALT (a) Consider transmitting 1000 bits. What is the approximate probability that at most 235 transmission errors occur? 0.9975✔ (b) Suppose the same 1000-bit message is sent two different times independently of one another. What is the approximate probability that the number of errors in the first transmission is within 50 of the number of errors in the second 0.9992 X
occur independently of one another. (Round your answers to four decimal places.) USE SALT (a) Consider transmitting 1000 bits. What is the approximate probability that at most 235 transmission errors occur? 0.9975✔ (b) Suppose the same 1000-bit message is sent two different times independently of one another. What is the approximate probability that the number of errors in the first transmission is within 50 of the number of errors in the second 0.9992 X
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
Related questions
Question
![A binary communication channel transmits a sequence of "bits" (Os and 1s). Suppose that for any particular bit transmitted, there is a 20% chance of a transmission error (a 0 becoming a 1 or a 1 becoming a 0). Assume that bit errors
occur independently of one another. (Round your answers to four decimal places.)
USE SALT
(a) Consider transmitting 1000 bits. What is the approximate probability that at most 235 transmission errors occur?
0.9975
(b) Suppose the same 1000-bit message is sent two different times independently of one another. What is the approximate probability that the number of errors in the first transmission is within 50 of the number of errors in the second?
0.9992 X
You may need to use the appropriate table in the Appendix of Tables to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff94bf75b-73c3-436f-b3bd-aa238709d700%2Fad160c21-099d-497a-bc0a-7901b3b3050b%2Fy80atuh_processed.png&w=3840&q=75)
Transcribed Image Text:A binary communication channel transmits a sequence of "bits" (Os and 1s). Suppose that for any particular bit transmitted, there is a 20% chance of a transmission error (a 0 becoming a 1 or a 1 becoming a 0). Assume that bit errors
occur independently of one another. (Round your answers to four decimal places.)
USE SALT
(a) Consider transmitting 1000 bits. What is the approximate probability that at most 235 transmission errors occur?
0.9975
(b) Suppose the same 1000-bit message is sent two different times independently of one another. What is the approximate probability that the number of errors in the first transmission is within 50 of the number of errors in the second?
0.9992 X
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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