Consider a trinary communication channel [STAR 1979] whose channel diagramis shown in Figure 1.P.6. For i = 1,2, 3 let T; denote the event "digit i is trans-mitted" and let R, denote the event “digit i is received." Assume that a 3 istransmitted 3 times more frequently than a 1, and a 2 is sent twice as often as 1.If a 1 has been received, what is the expression for the probability that a1 wassent? Derive an expression for the probability of a transmission error.P(R1IT1) =1-T1R1a / 2a / 2B/21-BT2R2B/2y/2y/21-yT3R3Figure 1.P.6. A trinary communication channel: channel diagram

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Answered: Consider a trinary communication…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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1 elderly person out of 100 has COVID-19. According to the test results, the test of a sick elderly is positive with 80% possibility, and the test of a healthy elderly is positive with 10% probability. According to this, what is the probability that an elderly person with a positive test result will have COVID-19?
A computer system uses passwords constructed from the 26 letters (a-z, lowercase only) or 10 integers (0-9). If a 6 character password is randomly selected, find the probability that it consists only of lower case letters or contains exactly 1 lower case m.
Suppose two end hosts, A and B, are connected by 10 links, each with packet loss probability p (0 < p < 1), and the loss probabilities for these links are independent. What is the probability that a packet sent form A is received successfully at the receiver B? Please type answer no write by hend.
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An ant is at one vertex of a square and needs to get to the opposite vertex (where there is food), walking along the sides of the square. The problem is that on each side, with probability p, there may be a predator preventing it from passing. The ant tries to go through where there are no predators. It is known that the events related to the presence of the predator on each side They are independent. Find the probability that a) The ant gets its food. b) There is at least one predator in the square, knowing that the ant gets its food. c) There are 4 predators in the square, knowing that the ant did not get its food. Need help with letter b :(
Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.
Suppose that people who own a Numberkrunch computer for home use will purchase another NumberKrunch with a probability of 0.6 and will switch to a QuickDigit computer with a probability of 0.4. Those who own a QuickDigit will purchase another with probability 0.7 and switch to a NumberKrunch with a probability of 0.3. Find the probability that if a person has a Numberkrunch computer, two computer purchases later he or she will also buy a NumberKrunch computer. The probability is (Type an integer or a decimal) ETTE
A company published the results of a study that found that arrogant workers are more likely to have poor performance ratings. Suppose that 15% of all full-time workers exhibit arrogant behaviors on the job and that 13% of all full-time workers will receive a poor performance rating. Also, assume that 10% of all full-time workers exhibit arrogant behaviors and receive a poor performance rating. Let A be the event that a full-time worker exhibits arrogant behavior on the job. Let B be the event that a full-time worker will receive a poor performance rating. Are events A and B independent? Why? Are the events A and B independent? Explain. A. No, because if workers exhibit arrogant behaviors, they are more likely to receive a poor performance rating. B. No, because if workers exhibit arrogant behaviors, they will receive a poor performance rating. C. Yes, because if workers exhibit arrogant behaviors, they are more likely to receive a poor performance rating. D. Yes, because if workers…
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Suppose we roll two six-sided dice. What is the probability that the two rolls have the same value mod 3? For example, 2 on one die and 5 on the other die would have the same value mod 3.

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