GATE Exam  >  GATE Questions  >  Let 5 stations are connected to CSMA/CD netwo... Start Learning for Free
Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?
  • a)
    1
  • b)
    0
  • c)
    0.0768
  • d)
    0.768
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let 5 stations are connected to CSMA/CD network . Every station wants ...
Success will be for one station and failure for other four Thus Psucc =5 c1 *(0.6)*(0.4)^4 =0.0768.
View all questions of this test
Most Upvoted Answer
Let 5 stations are connected to CSMA/CD network . Every station wants ...
Probability of successful transmission can be calculated using the formula for the complement of the probability of collision.

Given:
- 5 stations connected to a CSMA/CD network
- Probability of each station wanting to transmit data = p = 0.6
- No collision occurs if only one station transmits

To find: Probability of successful transmission

1. Probability of Collision:
Since there will be no collision if only one station transmits, the probability of collision can be calculated as the complement of the probability of no station transmitting.

Probability of no station transmitting = (1 - p)^5 = (1 - 0.6)^5 = 0.4^5 = 0.01024

Probability of collision = 1 - Probability of no collision = 1 - 0.01024 = 0.98976

2. Probability of Successful Transmission:
The probability of successful transmission can be calculated as the complement of the probability of collision.

Probability of successful transmission = 1 - Probability of collision = 1 - 0.98976 = 0.01024

Therefore, the probability of successful transmission is 0.01024 or 0.0768 when rounded to four decimal places.

Hence, the correct answer is option 'C'.
Explore Courses for GATE exam

Similar GATE Doubts

Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer?
Question Description
Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer?.
Solutions for Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let 5 stations are connected to CSMA/CD network . Every station wants to transmit data with probability p = 0.6. It is given that there will be no collision if only one station will transmit. What is the probability of successful transmission ?a)1b)0c)0.0768d)0.768Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
Explore Courses for GATE exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev