Given that,
Token is 64 bytes long
The average number of stations that the token must pass = 20
We need to calculate the transmission delay for token
Using formula of transmission delay
[tex]Transmission\ delay=\dfrac{token\ size}{minimum\ size}[/tex]
Put the value into the formula
[tex]Transmission\ delay=\dfrac{64\ bytes}{10\ Mbps}[/tex]
[tex]Transmission\ delay=\dfrac{64\times8}{10\times10^6}[/tex]
[tex]Transmission\ delay=0.0000512\ sec[/tex]
[tex]Transmission\ delay=5.12\times10^{-5}\ sec[/tex]
We need to calculate the average wait to receive token on an idle network with 40 stations
Using formula of average wait
[tex]\text{average wait to receive token}=\text{average number of stations that the token must pass}\times transmission\ delay[/tex]
Put the value into the formula
[tex]\text{average wait to receive token}=20\times5.12\times10^{-5}[/tex]
[tex]\text{average wait to receive token}= 0.001024\ sec[/tex]
[tex]\text{average wait to receive token}= 1.024\ ms[/tex]
Hence, The average wait to receive token on an idle network with 40 stations is 1.024 ms.