Question 1:

Please use the following codes to create a list L1

import numpy as np

L1 = []

np.random.seed(56)

for i in np.random.randint(0, 100, 10):

L1.extend([i] * np.random.randint(0, 100, 1)[0])

np.random.shuffle(L1)

Please use Python to answer the following questions:

What are the unique values?

How many unique values?

Create a dictionary with the unique items in L1 as dictionary keys and their count as the dictionary values.

Which value appears most frequently? The manual comparison is not acceptable.

Question 2:

A list:

L2 = [879, 394, 235, 580, 628, 81, 206, 238, 927, 853, 622, 603, 110, 143, 824, 324, 343, 506, 634, 325, 258, 900, 960, 286, 449, 890, 921, 170, 888, 851]

Please use Python to answer the following questions (Do not use built-in sum and mean functions):

Use a while loop to calculate the sum of the even numbers in L2.

Write a function to calculate the mean of a list. Use this function to calculate the mean of L2

Calculate the sum for elements in L2 which is larger than 500.

Question 3: Please use Python to answer the following questions

Implement the function pow(x, n), which calculates x raised to the power n (xⁿ). Please don't use x**n.

Calculate pow(2, 10) and pow(3, -3).