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Each tirne a rnodern trar1srnits one bit, t he receivir1g

Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers | 3rd Edition | ISBN: 9781118324561 | Authors: Roy D. Yates, David J. Goodman ISBN: 9781118324561 203

Solution for problem 3.3 Chapter 3

Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers | 3rd Edition

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Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers | 3rd Edition | ISBN: 9781118324561 | Authors: Roy D. Yates, David J. Goodman

Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers | 3rd Edition

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Problem 3.3

Each tirne a rnodern trar1srnits one bit, t he receivir1g rr1oderr1 anal}rzes t he signal that arrives and decides \vhet11er the transmitt ed bit is 0 or 1. It rr1akes an error vvith probability p, independent of whet11er an}' ot11er bit is received correctly. (a) If t he transmission continues until t11e receiving rr1odem rnakes its first error, what is the P JVIF of X , the nl1rr1ber of bits transrr1itted? (b) If IJ = 0.1 , what is t he probability t11at X = 10? \Vhat is the probability t hat x > 10? ( c) If t he rnoderr1 transmits 100 bits, what is the PMF of Y , t he nl1mber of errors? ( d ) If [ J = 0.01 and t he rnoderr1trar1srnits 100 bits, what is t he probability of Y = 2 errors at the recei\rer ? \Vhat is t he probability that y < 2? ( e) If the transmission contir1ues until t he recei\ring modem rr1akes t hree errors, '\vhat is the P JVIF of Z , t 11e nurnber of bits trar1srnitt ed? ( f) If '[J = 0.25, vvhat is t11e probabilit}' of Z = 12 bits transmitted t1ntil the moderr1rnakes three errors?

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STATS​ ​241 Week​ ​9 Chapter​ ​10​ ​Part​ ​2 Two​ ​cases​ ​of​ ​testing​ ​for​ ​the​ ​mean​ ​of​ ​two​ ​independent​ ​samples: ● Two​ ​samples​ ​will​ ​be​ ​selected​ ​from​ ​populations​ ​with​ ​equal​ ​variance ● Two​ ​samples​ ​will​ ​be​ ​selected​ ​from​ ​populations​ ​with​ ​different​ ​variances *If​ ​it’s​ ​unknown​ ​if​ ​population​ ​variance​ ​is​ ​equal​ ​or​ ​unequal,​ ​assume​ ​that​ ​they​ ​are​ ​unequal Chapter​ ​11 ANOVA-​ ​the​ ​statistical​ ​technique​ ​used​ ​to​ ​compare​ ​the​ ​means​ ​of​ ​three​ ​or​ ​more

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Chapter 3, Problem 3.3 is Solved
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Textbook: Probability and Stochastic Processes: A Friendly Introduction for Electrical and Computer Engineers
Edition: 3
Author: Roy D. Yates, David J. Goodman
ISBN: 9781118324561

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Each tirne a rnodern trar1srnits one bit, t he receivir1g