A transmitting system transmits 0's and l's. The probability of a correcttransmission of a 0 is 0.8, and it is 0.9 for a 1. We know that 45% of the transmittedsymbols are 0's.(a) What is the probability that the receiver gets a 0?(b) If the receiver gets a 0, what is the probability the transmitting system actuallysent a 0?Ans: (a- 0.415, b- 0.867)

Let us define some events A : the system transmits 0. B : the system transmits 1. E : the receiver…

Answered: (a) What is the probability that the…

(a) What is the probability that the receiver gets a 0? (b) If the receiver gets a 0, what is the probability the transmitting system actually sent a 0?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 56E

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Question

A transmitting system transmits 0's and l's. The probability of a correct
transmission of a 0 is 0.8, and it is 0.9 for a 1. We know that 45% of the transmitted
symbols are 0's.
(a) What is the probability that the receiver gets a 0?
(b) If the receiver gets a 0, what is the probability the transmitting system actually
sent a 0?
Ans: (a- 0.415, b- 0.867)

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