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A transmitter is sending a message by using a binary code,

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 94E Chapter 2

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

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

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

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Problem 94E

A transmitter is sending a message by using a binary code, namely, a sequence of 0’s and 1’s. Each transmitted bit (0 or 1) must pass through three relays to reach the receiver. At each relay, the probability is .20 that the bit sent will be different from the bit received (a reversal). Assume that the relays operate independently of one another. Transmitter ? Relay 1 ? Relay 2 ? Relay 3 ? Receiver a. ?If a 1 is sent from the transmitter, what is the probability that a 1 is sent by all three relays? b. ?If a 1 is sent from the transmitter, what is the probability that a 1 is received by the receiver? [?Hint: ?The eight experimental outcomes can be displayed on a tree diagram with three generations of branches, one generation for each relay.] c. ?Suppose 70% of all bits sent from the transmitter are 1s. If a 1 is received by the receiver, what is the probability that a 1 was sent?

Step-by-Step Solution:

Answer : Step 1 of 3 : A transmitter is sending a message by using a binary code, namely, a sequence of 0’s and 1’s. Each transmitted bit (0 or 1) must pass through three relays to reach the receiver. At each relay, the probability is .20 that the bit sent will be different from the bit received (a reversal). Assume that the relays operate independently of one another. Transmitter Relay 1 Relay 2 Relay 3 Receiver a) If a 1 is sent from the transmitter, the claim is to find the probability that a 1 is sent by all three relays. the probability is .20 that the bit sent will be different from the bit received (a reversal). So, the probability of maintaining a bit is 0.8 Using independence, P(all three relays correctly send 1) = (0.8) (0.8) (0.8) = 0.512 the probability that a 1 is sent by all three relays is 0.512.

Step 2 of 3

Chapter 2, Problem 94E is Solved
Step 3 of 3

Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

The full step-by-step solution to problem: 94E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. This full solution covers the following key subjects: sent, relay, transmitter, receiver, Probability. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. The answer to “A transmitter is sending a message by using a binary code, namely, a sequence of 0’s and 1’s. Each transmitted bit (0 or 1) must pass through three relays to reach the receiver. At each relay, the probability is .20 that the bit sent will be different from the bit received (a reversal). Assume that the relays operate independently of one another. Transmitter ? Relay 1 ? Relay 2 ? Relay 3 ? Receiver a. ?If a 1 is sent from the transmitter, what is the probability that a 1 is sent by all three relays? b. ?If a 1 is sent from the transmitter, what is the probability that a 1 is received by the receiver? [?Hint: ?The eight experimental outcomes can be displayed on a tree diagram with three generations of branches, one generation for each relay.] c. ?Suppose 70% of all bits sent from the transmitter are 1s. If a 1 is received by the receiver, what is the probability that a 1 was sent?” is broken down into a number of easy to follow steps, and 168 words. Since the solution to 94E from 2 chapter was answered, more than 792 students have viewed the full step-by-step answer. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9.

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A transmitter is sending a message by using a binary code,