### Binary Symmetric Channel Analysis#### Question 15:The figure below illustrates a binary symmetric channel where each symbol ("0" or "1") sent is inverted with probability "p", independently of all other symbols. In simple terms:- When "0" is transmitted, the probability of receiving "1" is "p" and the probability of receiving "0" is "1-p".- When "1" is transmitted, the probability of receiving "0" is "p" and the probability of receiving "1" is "1-p".The input \(X\) to the binary symmetric channel shown in the figure is '1' with probability 0.8 \(\big(P(X = 1) = 0.8\big)\). The cross-over probability is \(p = \frac{1}{7}\).#### Diagram Explanation:- The diagram represents the possible transitions between input \(X\) and output \(Y\).- If \(X = 0\): - The probability to receive \(Y = 0\) is \(1 - p\). - The probability to receive \(Y = 1\) is \(p\).- If \(X = 1\): - The probability to receive \(Y = 1\) is \(1 - p\). - The probability to receive \(Y = 0\) is \(p\).``` 1 - pX = 0 -----> Y = 0 \ ^ \ / \ p / v /X = 1 -----> Y = 1 1 - p```#### Problem Statement:If the received symbol is \(Y = 0\), what is the conditional probability that \(X = 1\) was transmitted?##### Options:- a. \(\frac{1}{5}\)- b. \(\frac{2}{5}\)- c. \(\frac{3}{5}\)- d. \(\frac{4}{5}\)*This question pertains to the understanding and computation of conditional probabilities within the context of a binary symmetric channel.*The correct answer should be determined after conducting the necessary calculations and analysis of the probabilities.

LetThe event "X=1" as AThe event "Y=0" as BThe probability of A i.e., P( A ) = 0.8P( B | A ), is the…

Answered: 15) The figure below shows a binary…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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For example, for student ID s1243657, the 4th digital of s1243657 is “3”, therefore variable “A” is “Use interactive activities”; the 5th digital of s1243657 is “6”, therefore variable “B” is “Give a lot of assignments”; the 6th digital of s1243657 is “5”, therefore variable “C” is “Good communication skills. Student ID s12042516 as the case, the 4th digital is “4”, the 5th digital is 2, the 6th digital is 5. With the data collected, Dr Tian ran a test to see if there were significant relationships between A, B, C and satisfaction toward e-learning. I) Interpret the result and provide insightful remarks.
Suppose you are dealt a 5-card poker hand and your first 2 cards are both twos. How many ways are there to complete your hand such that you end up with no better than a 3 of-a-kind?
The figure below shows a binary symmetric channel where each symbol ("0" or "1") sent is inverted with probability "p", independently of all other symbols. In simple terms, when "0" is transmitted, probability of receiving "1" is "p" and probability of receiving "0" is "1-p". When "I" is transmitted, probability of receiving "0" is "p" and probability of receiving "1" is "1-p". Transition probabilities 1-p Transmitted signals Received signals 1-p Lets suppose that p = 1/4, P("0" transmitted) = 2/3 and P("1" transmitted) = 1/3. What is the probability that actually a "101" was transmitted given that "110" is received? O a. 2/27 O b. 6/175 O. 3/64 O d. 64/3125 O e. 175/1728
Q10. A ternary string is an ordered string of characters which consists of digits (0,1, or 2). For example, the ternary string 2122010 consists of exactly 2 zero's, 2 one's and 3 two's; another ternary string meeting these conditions is 0021221. How many ternary strings are there with exactly 4 zero's, 2 one's and 6 two's?
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OSM HTAM MATH 1420 11. A roulette wheel has 38 slots around the rim. The first 36 slots are numbered from 1 to 36. Half of these 36 slots are red, and the other half are black. The remaining 2 slots are numbered 0 and 00 and are green. As the roulette wheel is spun in one direction, a small ivory ball is rolled along the rim in the opposite direction. The ball has an equally likely chance of falling into any one of the 38 slots. Find each of the following: a. The probability that the ball lands in a black slot. b. The probability that the ball lands on 0 or 00. C. The probability that the ball does not land on a number from 1 through 12 d. The probability that the ball lands on an odd number or on a green slot
10!/8!
A: Green is just as likely as red or blue to appear. B: Green is just as likely as blue to appear, but not as likely as red. C: Green is not as likely as red or blue to appear. D: Green is not as likely as blue to appear, but is as likely as red.
Covid-19 returns a positive result 60% of the time if the individual tested is infected. The same disease returns a negative result 99% of the time if the individual tested is not infected. To ensure better results, Sarah is tested twice over the span of a few days. Assume that the tests are independent and that the individual has a 10% pre-test probability of being infected based on her symptoms. What is the probability that the said individual is infected given that she tested negative twice?
Each of the numbers 0 - 9 is written on a sheet of paper and the ten sheets of paper are placed in a box If two of these sheets of paper are selected from the box at random, without replacement, find the probability that both numbers are greater than 7.
A favorite casino game of dice “craps” is played in the following manner: A player starts by rolling a pair of balanced dice. If the roll (the sum of two numbers showing on the dice) results in a 7 or 11, the player wins. If the roll results in a 2 or 3 (called “craps”) the player loses. For any other roll outcome, the player continues to throw the dice until the original roll outcome recurs (in which case the player wins) or until a 7 occurs (in which case the player loses). When answering the following questions, you can use this outcome chart for the roll of two dice: Provide the probability answers in fraction and in decimal forms rounded to 4 digits. A. List the possible outcomes (sample space) for winning on the first roll of the dice. B. What is the probability that a player wins the game on the first roll of the dice? C. List the possible outcomes (sample space) for losing on the first roll of the dice. D. What is the probability that a player loses the game on the…
only B please

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