Each bit transmitted through a channel has a 10% chance to be transmitted in error. Assume that the bits are transmitted independently. Let X denote the number of bits in error in the next 18 transmitted bits. Answer the following questions a) Find the probability that in the next 18 transmitted bits, at least 3 transmitted in error. b) Calculate the expected value, variance and standard deviation of X. c) Find the probability that X is within 1 standard deviation of its mean value.
Each bit transmitted through a channel has a 10% chance to be transmitted in error. Assume that the bits are transmitted independently. Let X denote the number of bits in error in the next 18 transmitted bits. Answer the following questions a) Find the probability that in the next 18 transmitted bits, at least 3 transmitted in error. b) Calculate the expected value, variance and standard deviation of X. c) Find the probability that X is within 1 standard deviation of its mean value.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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![Each bit transmitted through a channel has a 10% chance to be transmitted in error. Assume that the
bits are transmitted independently. Let X denote the number of bits in error in the next 18 transmitted
bits. Answer the following questions
a) Find the probability that in the next 18 transmitted bits, at least 3 transmitted in error.
b) Calculate the expected value, variance and standard deviation of X.
c) Find the probability that X is within 1 standard deviation of its mean value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbff740f-3938-4fe6-a0a6-6b453d5e1f36%2F2166a302-3681-44ed-a8a5-81777b71ed34%2Fnrqm68g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Each bit transmitted through a channel has a 10% chance to be transmitted in error. Assume that the
bits are transmitted independently. Let X denote the number of bits in error in the next 18 transmitted
bits. Answer the following questions
a) Find the probability that in the next 18 transmitted bits, at least 3 transmitted in error.
b) Calculate the expected value, variance and standard deviation of X.
c) Find the probability that X is within 1 standard deviation of its mean value.
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