hw06.pdf - hw06 November 26, 2020 1 Homework 6:...

hw06
November 26, 2020
1 Homework 6: Probability, Simulation, Estimation, and Assess-
ing Models
Reading : * Randomness * Sampling and Empirical Distributions * Testing Hypotheses
Please complete this notebook by filling in the cells provided. Before you begin, execute the
following cell to load the provided tests. Each time you start your server, you will need to execute
this cell again to load the tests.
Directly sharing answers is not okay, but discussing problems with the course staff or with other
students is encouraged. Refer to the policies page to learn more about how to learn cooperatively.
For all problems that you must write our explanations and sentences for, you must provide your
answer in the designated space. Moreover, throughout this homework and all future ones, please be
sure to not re-assign variables throughout the notebook! For example, if you use max_temperature
in your answer to one question, do not reassign it later on.
[1]: # Don't change this cell; just run it.
import numpy as np
from datascience import *
# These lines do some fancy plotting magic.
import matplotlib
% matplotlib inline
import matplotlib.pyplot as plt
plt . style . use( 'fivethirtyeight' )
import warnings
warnings . simplefilter( 'ignore' , FutureWarning )
import otter
grader = otter . Notebook()
1.1 1. Probability
We will be testing some probability concepts that were introduced in lecture. For all of the following
problems, we will introduce a problem statement and give you a proposed answer. Next, for each
of the following questions, you must assign the provided variable to one of three integers. You are
1

more than welcome to create more cells across this notebook to use for arithmetic operations, but
be sure to assign the provided variable to 1, 2, or 3 in the end.
1. Assign the variable to 1 if you believe our proposed answer is too low.
2. Assign the variable to 2 if you believe our proposed answer is correct.
3. Assign the variable to 3 if you believe our proposed answer is too high.
Question 1. You roll a 6-sided die 10 times. What is the chance of getting 10 sixes?
Our proposed answer:
(
1
6
)
10
Assign ten_sixes to either 1, 2, or 3 depending on if you think our answer is too low, correct, or
too high.
[2]: ten_sixes = 2
ten_sixes
[2]: 2
[3]: grader . check( "q1_1" )
[3]:
All tests passed!
Question 2. Take the same problem set-up as before, rolling a fair dice 10 times. What is the
chance that every roll is less than or equal to 5?
[5]:
All tests passed!