Consider the following problem

:

Consider

a circle and

an equilateral triangle inscribed

in it$.$ Pick a chord at random in the circle.

What is the probability that the chord is longer than

a

side of the equilateral triangle?

Part A$.$

Create

in

Python

a simulation of this problem

that allows you to estimate the wished

theoretical

probability. Th

e program should visually show the statistical experiments

$($in a way that could help you

develop a theoretical explanation

$$

HINT: when determining whether the random chord is longer or not,

use the random variable in your conditional statement. This will

help you develop

a

mathematical model

to

determine

what the theoretical probability is

$)$

$,$ as well as

a numerical value of the

calculated empirical

probability.

Then w

rite

a shor

t

report with the following sections: i$)$ formulation of the problem; ii$)$

descrip

tion of the mathematics of the problem

$,$

including any mathematics needed in the program

and

your complete theoretical answer to the probability problem

; and iii$)$

a short discussion of your

results

$.$

U

se

JupyterLab

for

your assignment.

You may wish to

use $($or have a look at$)$ the $$Assign $2$ Starter.ipynb$.$

Part

B

$.$

AFTER you are done with Part A$,$ r

eflect on your learning experience; i$)$ identify $($and briefly

justify$)$ all of the computational practices $($

according to Weintrop et al$.,2016)$ that you engaged

in as you

completed your task;

ii$)$ comment on the ways in which programming was useful to your solving of this

mathematical problem $($

indicate in parentheses one or more affordances that contributed to it$).$ Do you

think you could have solved it without the

use of programming? Explain;

and

iii$)$

identify a $$key$$ strategy

$($different than in your assignment $1$

reflection

$)$ used by the instructor, TA$,$ or a peer helper to support

your completion of the project and the ways in which it supported your work or learning

$.$

What to submit:

Part A

of your

a

ssignment

$(85\%)$

is to be

submitted

Wednes

day

February

$28$

by

$3$

:

$00$

p

m

in

BrightSpace

that includes: i$)$ your

working program

in Python

as a Jupyter Notebook

file

$,$

and ii$)$ your written report

$($PDF or Word$)$

with your name, student number, and $$Assignment $2$

as heading of your

written

document

$,$ and the

following

statement of non

$-$

plagiarism signed

:

I declare that this Python project and written report are

my own work

$,$ and that other work used

or referred to is

appropriately cited in my written report. My initials: $\_\_\_\_\_$

The second part

$($Part

B

$)$

of your a

ssignment

is to be

submitted

Fri

day

March $1$

by

$5$

:$00$pm

in

BrightSpace

$.$

It consists of your written reflecti

on

$.$

Using $12$ pt

Times New Roman font

$($

$2\mathrm{.}2$ cm

left$/$right

margins

$,$ single

$-$

spaced$),$ your written document should contain $3$ sections and be

about

$1$ to $1\mathrm{.}5$ page long

in total

$.$

For question iii$)$ start by mentioning which key strategy you reported on in assignment $1$