You are a network engineer tasked with analyzing the performance of a TCP Vegas implementation in a small office network. The network consists of the following parameters:

$-$ Round Trip Time $($RTT$)$: The average RTT is measured to be $100$ ms $.$

$-$ Throughput: The maximum throughput observed is $1\mathrm{.}5$ Mbps $.$

$-$ Current Congestion Window $($CWND$)$: The current congestion window is set to $20$ packets.

$-$ Base RTT: The minimum RTT observed during low$-$load conditions is $80$ ms $.$

$-$ Expected Throughput: Based on the base RTT$,$ the expected throughput can be calculated using the formula:

$\backslash [$

$\backslash$text $\{$ Expected Throughput $\}=\backslash$frac$\{\backslash$text $\{$ CWND $\}\}\{\backslash$text $\{$ Base RTT $\}\}$

$\backslash ]$

$-$ Actual Throughput: The actual throughput observed during a test is $1\mathrm{.}2$ Mbps $.$

Questions:

$1.$ Calculate the Expected Throughput: Using the parameters provided, calculate the expected throughput in Mbps$.$

$2.$ Determine the Difference: Find the difference between the expected throughput and the actual throughput.

$3.$ Congestion Control Decision: Based on the difference calculated in the previous step, determine how TCP Vegas should adjust the congestion window. Use the following rules:

$-$ If the expected throughput is greater than the actual throughput, increase the congestion window by $1$ packet.

$-$ If the expected throughput is less than or equal to the actual throughput, decrease the congestion window by $1$ packet.

$4.$ New Congestion Window: Calculate the new congestion window after the adjustment.