Pure Maths1 for Advance level certificate students

a) To calculate how much of UTAMU's network capacity students are consuming when watching YouTube, we need to calculate the data rate of the YouTube video streaming.
Data Rate of YouTube Video: Each frame is represented by 480 * 360 * 24 bits (pixel size) = 4,147,200 bits Number of frames per second = 30 frames per second
Data rate per second = 4,147,200 bits/frame * 30 frames/second = 124,416,000 bits/second
Considering the 10:1 compression ratio: Effective Data rate per second = 124,416,000 bits/second / 10 = 12,441,600 bits/second
b) To calculate what percentage of available bus cycles on students' computers are consumed when watching YouTube, we need to compare the data rate of the YouTube video with the available bus speed.
Bus Speed of Students' Computers: Bus Speed = 400 MHz = 400,000,000 cycles/second Bus width = 32 bits
Data rate of the bus = 400,000,000 cycles/second * 32 bits/cycle = 12,800,000,000 bits/second
Percentage of available bus cycles consumed by YouTube = (Data rate of YouTube / Data rate of the bus) * 100 Percentage of available bus cycles consumed by YouTube = (12,441,600 bits/second / 12,800,000,000 bits/second) * 100 ≈ 0.097%
c) Now, let's evaluate the impact of 500 students watching YouTube and a faster UTAMU Internet connection: