Aloha | Computer Networks

Question

Consider a network uses the slotted ALOHA medium access control protocol and network have 5 active nodes. Assume, each node attempts to transmit a frame in each slot with probability 0.2 and this frame can be new or old collided frame. The probability of successful transmission of a frame from any node in a given slot is (Rounded off upto two decimal places)

Ans : 0.4096

Please Explain

Answer 1

Ans. 5∁1*((0.2)^1)*((0.8)^4)   Take any Node out of 5 is 5c1 then at this time only this can transmit with probability 0.2 and other 4 node should not transmit with probability (0.8)^4

Comments

5 active Node

each node attempts to transmit a frame in each slot with probability 0.2

so. The probability of successful transmission of a frame from any node in a given slot is

5C1(0.2)= 1 fram trans.

(1-0.2)ki power 4 = remaining frams

so 5C1(0.2)*(1-0.2)ki power 4

ANS 0.4096