In [2]:

import pandas as pd
import numpy as np

Writing Sample Spaces¶

In [3]:

toy_dataset = pd.read_csv('toy_dataset.csv')
toy_dataset.head()

Out[3]:

	Number	City	Gender	Age	Income	Illness
0	1	Dallas	Male	41	40367.0	No
1	2	Dallas	Male	54	45084.0	No
2	3	Dallas	Male	42	52483.0	No
3	4	Dallas	Male	40	40941.0	No
4	5	Dallas	Male	46	50289.0	No

Write the sample space of the following experiments. The first one is done as an example.

Experiment 1: You make a list of three of the cities to visit.

In [11]:

len(set(toy_dataset['Income']))

Out[11]:

In [35]:

def experiment_1(): 
    cities = np.random.choice(toy_dataset['City'].unique(),3,replace=False).tolist()
    return cities

In [57]:

experiment_1()

Out[57]:

['San Diego', 'Mountain View', 'Boston']

In [72]:

all_cities = toy_dataset['City'].unique().tolist()
indexes = range(len(all_cities))
sample_space = {(all_cities[i],all_cities[j],all_cities[k]) 
                for i in indexes 
                for j in indexes[i+1:]
                for k in indexes[j+1:]}

In [77]:

sample_space

Out[77]:

{('Boston', 'San Diego', 'Austin'),
 ('Boston', 'Washington D.C.', 'Austin'),
 ('Boston', 'Washington D.C.', 'San Diego'),
 ('Dallas', 'Boston', 'Austin'),
 ('Dallas', 'Boston', 'San Diego'),
 ('Dallas', 'Boston', 'Washington D.C.'),
 ('Dallas', 'Los Angeles', 'Austin'),
 ('Dallas', 'Los Angeles', 'Boston'),
 ('Dallas', 'Los Angeles', 'Mountain View'),
 ('Dallas', 'Los Angeles', 'San Diego'),
 ('Dallas', 'Los Angeles', 'Washington D.C.'),
 ('Dallas', 'Mountain View', 'Austin'),
 ('Dallas', 'Mountain View', 'Boston'),
 ('Dallas', 'Mountain View', 'San Diego'),
 ('Dallas', 'Mountain View', 'Washington D.C.'),
 ('Dallas', 'New York City', 'Austin'),
 ('Dallas', 'New York City', 'Boston'),
 ('Dallas', 'New York City', 'Los Angeles'),
 ('Dallas', 'New York City', 'Mountain View'),
 ('Dallas', 'New York City', 'San Diego'),
 ('Dallas', 'New York City', 'Washington D.C.'),
 ('Dallas', 'San Diego', 'Austin'),
 ('Dallas', 'Washington D.C.', 'Austin'),
 ('Dallas', 'Washington D.C.', 'San Diego'),
 ('Los Angeles', 'Boston', 'Austin'),
 ('Los Angeles', 'Boston', 'San Diego'),
 ('Los Angeles', 'Boston', 'Washington D.C.'),
 ('Los Angeles', 'Mountain View', 'Austin'),
 ('Los Angeles', 'Mountain View', 'Boston'),
 ('Los Angeles', 'Mountain View', 'San Diego'),
 ('Los Angeles', 'Mountain View', 'Washington D.C.'),
 ('Los Angeles', 'San Diego', 'Austin'),
 ('Los Angeles', 'Washington D.C.', 'Austin'),
 ('Los Angeles', 'Washington D.C.', 'San Diego'),
 ('Mountain View', 'Boston', 'Austin'),
 ('Mountain View', 'Boston', 'San Diego'),
 ('Mountain View', 'Boston', 'Washington D.C.'),
 ('Mountain View', 'San Diego', 'Austin'),
 ('Mountain View', 'Washington D.C.', 'Austin'),
 ('Mountain View', 'Washington D.C.', 'San Diego'),
 ('New York City', 'Boston', 'Austin'),
 ('New York City', 'Boston', 'San Diego'),
 ('New York City', 'Boston', 'Washington D.C.'),
 ('New York City', 'Los Angeles', 'Austin'),
 ('New York City', 'Los Angeles', 'Boston'),
 ('New York City', 'Los Angeles', 'Mountain View'),
 ('New York City', 'Los Angeles', 'San Diego'),
 ('New York City', 'Los Angeles', 'Washington D.C.'),
 ('New York City', 'Mountain View', 'Austin'),
 ('New York City', 'Mountain View', 'Boston'),
 ('New York City', 'Mountain View', 'San Diego'),
 ('New York City', 'Mountain View', 'Washington D.C.'),
 ('New York City', 'San Diego', 'Austin'),
 ('New York City', 'Washington D.C.', 'Austin'),
 ('New York City', 'Washington D.C.', 'San Diego'),
 ('Washington D.C.', 'San Diego', 'Austin')}

In [ ]:

AylenmlAylenml

Assignment 1.2.1: Writing Sample Spaces

Writing Sample Spaces¶