Question

1. *

how does your web browser get a file from the internet? your computer sends a request for the file to a web server, and the web
server sends back a response. for one particular web server, the time (in seconds) after the start of an hour at which a request is
received can be modeled by a uniform distribution on the interval from 0 to 3600 seconds.
find the interquartile range of this distribution.
option 1
900 seconds
option 2
2700 seconds
option 3
1800 seconds
option 4
3600 seconds

Explanation:

Step1: Recall the formula for inter - quartile range in uniform distribution

For a uniform distribution \(U(a,b)\), the first quartile \(Q_1=a+\frac{b - a}{4}\), and the third quartile \(Q_3=a+\frac{3(b - a)}{4}\). The inter - quartile range \(IQR = Q_3 - Q_1\).
Here, \(a = 0\) and \(b = 3600\).

Step2: Calculate \(Q_1\) and \(Q_3\)

\(Q_1=0+\frac{3600-0}{4}=900\)
\(Q_3=0+\frac{3(3600 - 0)}{4}=2700\)

Step3: Calculate the inter - quartile range

\(IQR=Q_3 - Q_1\)
\(IQR = 2700-900 = 1800\)

Answer:

Option 2 (1800 seconds)