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# Consider a communication source that transmits packets ISBN: 9780321629111 32

## Solution for problem 122E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 122E

Consider a communication source that transmits packets containing digitized speech. After each transmission, the receiver sends a message indicating whether the transmission was successful or unsuccessful. If a transmission is unsuccessful, the packet is re-sent. Suppose a voice packet can be transmitted a maximum of 10 times. Assuming that the results of successive transmissions are independent of one another and that the probability of any particular transmission being successful is p, determine the probability mass function of the rv X = the number of times a packet is transmitted. Then obtain an expression for the expected number of times a packet is transmitted.

Step-by-Step Solution:

Answer Step 1 of 2 Let x be the no. of times the packet is transmitted According to the given data it is a geometric distribution The pmf of geometric distribution is P(X=x)=(1-p) p; x=1,2,3……,10

Step 2 of 2

##### ISBN: 9780321629111

The full step-by-step solution to problem: 122E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This full solution covers the following key subjects: Packet, transmission, transmitted, times, unsuccessful. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Since the solution to 122E from 3 chapter was answered, more than 383 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. The answer to “Consider a communication source that transmits packets containing digitized speech. After each transmission, the receiver sends a message indicating whether the transmission was successful or unsuccessful. If a transmission is unsuccessful, the packet is re-sent. Suppose a voice packet can be transmitted a maximum of 10 times. Assuming that the results of successive transmissions are independent of one another and that the probability of any particular transmission being successful is p, determine the probability mass function of the rv X = the number of times a packet is transmitted. Then obtain an expression for the expected number of times a packet is transmitted.” is broken down into a number of easy to follow steps, and 103 words.

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Consider a communication source that transmits packets