Python question:

Requriements

Submit only the files requested

Print all floats to 2 decimal points unless stated otherwise

Restrictions

No global variables may be used

Your program must have at least 1 user defined function

Description

For this problem you will be implementing a Monte Carlo method for the estimation of pi. Imagine that you have a circle of radius 1 whose center is at (0,0) surrounded by a square with sides of length 2 as pictured below

If we randomly choose points within the square the probability of a point being inside the circle is proportional to the area of the square that it occupies. This means that

Solving for pi we have

The probability for pi can be approximiated by picking a large number of points between [-1, 1] and counting the number that are inside the circle. The number of points inside the circle divided by the the total number of points picked is the probability of being inside the circle

Report your answer to 3 digits after the decimal place

Assumptions

Input will always be valid

Valid values for inputs

Seed: an integer

Number iterations: an integer greater than 0

Randomness

In order to match the outputs on Mimir you will need to make calls to functions in the random module in the exact order that I do

o First make sure to seed the random number generator using random.seed

o Use random.uniform to generate the values

o First generate a random number between [-1, 1] for the x axis

o Then generate a random number between [-1,1] for the y axis

o Numbers that fall exactly on the edge of the circle are considered to be inside the circle

Examples

Example 1

Enter the seed for the random number generator: 4

Enter the number of iterations to run: 10

The value of pi is 2.800.

Example 2

Enter the seed for the random number generator: -7

Enter the number of iterations to run: 2

The value of pi is 4.000.

Example 3

Enter the seed for the random number generator: -7

Enter the number of iterations to run: 10000

The value of pi is 3.140.

Requriements Submit only the files requested Print all floats to 2 decimal points unless stated otherwise Restrictions No global variables may be used Your program must have at least 1 user defined function Description For this problem you will be implementing a Monte Carlo method for the estimation of pi. Imagine that you have a circle of radius I whose center is at (0,0) surrounded by a square with sides of length 2 as pictured below (0,0) 0,-1) If we randomly choose points within the square the probability of a point being inside the circle is proportional to the area of the square that it occupies. This means that Probabilir Areas22 4 Solving for pi we have pr=Probabiliyhadean'4 The probability for pi can be approximiated by picking a large number of points between, and counting the number that are inside the circle. The number of points inside the circle divided by the the total number of points picked is the probability of being inside the circle Probabliny suucemmber of points picked number ts in thecircle