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Assume that there are k stations transmitting in an ethernet network using CSMA/CD. Probability that station requires the ethernet in the contention slot with probability P is : A = KP(1-P)^k-1

what is the maximum value of A

A) 1/e

B) 1/ 2e

C) 1/4e

D) 0.125e

2 Answers

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Let A be the probability that some station can successfully transmit in a slot .

we know C= 1/A where C = Number of Contention Intervals 

Given that , A=K*p* (1-p)k-1  ...(i)  where K= no. of station,  and p=probability

In (i) value of A is maximum when  p=1/K

Thus  A =  (1-1/K)K -1

so maximum value of A is (1-1/K)K -1  for  p = 1/K .

Answer:

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