A binary communication channel transmits a sequence of "bits" (0s and 1s). Suppose that for any particular bit transmitted, there is a 15% chance of a transmission error (a o becoming a 1 or a 1 becoming a 0). Assume that bit errors occur independently of one anothe (Round your answers to four decimal places.) A USE SALT (a) Consider transmitting 1000 bits. What is the approximate probability that at most 175 transmission errors occur? (b) Suppose the same 1000-bit message is sent two different times independently of one another. What is the approximate probability that the number errors in the first transmission is within 60 of the number of errors in the second?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A binary communication channel transmits a sequence of "bits" (Os and 1s). Suppose that for any particular bit transmitted, there is a 15% chance of a transmission error (a 0 becoming a 1 or a 1 becoming a 0). Assume that bit errors occur independently of one anothe
(Round your answers to four decimal places.)
In USE SALT
(a) Consider transmitting 1000 bits. What is the approximate probability that at most 175 transmission errors occur?
(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 60 of the number of errors in the second?
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 15% chance of a transmission error (a 0 becoming a 1 or a 1 becoming a 0). Assume that bit errors occur independently of one anothe (Round your answers to four decimal places.) In USE SALT (a) Consider transmitting 1000 bits. What is the approximate probability that at most 175 transmission errors occur? (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 60 of the number of errors in the second?
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