$1)$ i$)$ Write a Python function$$calculate$($a$,$ b$)$that takes two numbers

and returns their sum, difference, product, and quotient. Print the

results.

def calculate$($a$,$ b$)$:

$$ # Your code here$(5$ Marks$)$

$$ii$)$ Write a function$$is$\_$even$($num$)$that takes an integer and

returns$$True$$if the number is even and$$False$$if it is

odd.

def is$\_$even$($num$)$:

$$ # Your code here$(2$ Marks$)$

$$iii$)$ Create a list of $10$ integers. Write a function$$filter$\_$even$\_$numbers$($lst$)$that

returns a new list containing only the even numbers from the original

list.

def filter$\_$even$\_$numbers$($lst$)$:

$$ # Your code here$(3$ Marks$)$

$$iv$)$ Create a dictionary containing the names and ages of $5$ people. Write a

function$$get$\_$average$\_$age$($person$\_$dict$)$that calculates and

returns the average age.

def get$\_$average$\_$age$($person$\_$dict$)$:

$$ # Your code here$(3$ Marks$)$

$2.$ Create a NumPy array of $20$ random integers between $1$ and $100.$ Write a

function$$array$\_$statistics$($arr$)$that returns the mean, median,

and standard deviation of the array.

import numpy as np

def array$\_$statistics$($arr$)$:

$$ # Your code here$(12$ Marks$)$

Ensure$$your code runs without errors.

$$ Write comments explaining each part of your code.