Question $-1($Machine Learning$)$

Being a data scientist, Ahmad wants to update a machine learning $($ML$)$ model while he waits for the job to arrive from either server A or server $\backslash ($ B $\backslash )$ independent. His manager informed him that jobs from server $\backslash ($ A $\backslash )$ have a uniform arrival time of $\text{'}$a$\text{'}$ minutes and from server B the arrival times are exponentially distributed with a mean of $\text{'}$b$\text{'}$ minutes.

Run the code below, which will specify for you the values of $\text{'}\backslash ($ a $\backslash )\text{'}$ and $\text{'}\backslash ($ b $\backslash )\text{'}.$ You must use these values in all subsequent parts $1$a$-1$e$.$

$```$

$[]$ # Once you run this code, you will solve this question ONLY for the generated values.

import random

random.seed$(42)$

a $=$ random.randint$(5,20)$

b $=$ random.randint$(5,20)$

print$($f$"$a$=\{$a$\},$ b$=\{$b$\}")$

$\backslash$Xi ar a$=8,$ b$=5$

$```$

For your generated values of $\text{'}$a$\text{'}$ and $\text{'}$b$\text{'},$ answer the following questions.

$1$a$.$ Define the random variables which represent the waiting times for the first job from both servers.