The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
+18 votes

There are $n$ stations in slotted LAN. Each station attempts to transmit with a probability $p$ in each time slot. What is the probability that ONLY one station transmits in a given time slot?

  1. $np(1-p)^{n-1}$

  2. $(1-p)^{n-1}$

  3. $p(1-p)^{n-1}$

  4. $1-(1-p)^{n-1}$

asked in Computer Networks by Veteran (69k points) | 1.9k views

$\text{(A) is correct option!}$

From which book ??

2 Answers

+26 votes
Best answer

Probability that only one station transmits in a given slot = ${n \choose 1} p^1 (1-p)^{n-1}$

answer = option A

$p$ for 1 transmitting and $(1-p)$ for $n-1$ non transmitting and $n$ ways to choose $1$ from $n$.

answered by Boss (5.1k points)
edited by
Can you explain it more ?
+6 votes
Please before making above question clear your concept about Binomial distribution,then this question will seem like birthday cake


P(X=1)=nC1 x (p)^1 x (1-p)^n-1
answered by Boss (8.4k points)

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

33,593 questions
40,128 answers
38,389 users