Homework Help is Here – Start Your Trial Now!
Math
Statistics
Approximating pl: Suppose you throw darts at the unit square shown below. Assume your darts land in the square and that any spot is equally likely to any other spot. a) What fraction of the darts should land in the quarter circle? Use the fact that the probability of an event is equal to its area if the entire space of possibilities has area 1. b) Using part a, write an R simulation that approximates pi. Your code should simulate 10000 dart throws. c) What is the upper end of how many dart throws your computer can simulate in a reasonable amount of time? What type of accuracy do you seem to be getting in your approximation of pi with this upper bound?

Approximating pl: Suppose you throw darts at the unit square shown below. Assume your darts land in the square and that any spot is equally likely to any other spot. a) What fraction of the darts should land in the quarter circle? Use the fact that the probability of an event is equal to its area if the entire space of possibilities has area 1. b) Using part a, write an R simulation that approximates pi. Your code should simulate 10000 dart throws. c) What is the upper end of how many dart throws your computer can simulate in a reasonable amount of time? What type of accuracy do you seem to be getting in your approximation of pi with this upper bound?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
None
Approximating pl: Suppose you throw darts at the unit square shown below. Assume your darts land in the square and that any spot is equally likely to any other spot. a) What fraction of the darts should land in the quarter circle? Use the fact that the probability of an event is equal to its area if the entire space of possibilities has area 1. b) Using part a, write an R simulation that approximates pi. Your code should simulate 10000 dart throws. c) What is the upper end of how many dart throws your computer can simulate in a reasonable amount of time? What type of accuracy do you seem to be getting in your approximation of pi with this upper bound?
Transcribed Image Text:Approximating pl: Suppose you throw darts at the unit square shown below. Assume your darts land in the square and that any spot is equally likely to any other spot. a) What fraction of the darts should land in the quarter circle? Use the fact that the probability of an event is equal to its area if the entire space of possibilities has area 1. b) Using part a, write an R simulation that approximates pi. Your code should simulate 10000 dart throws. c) What is the upper end of how many dart throws your computer can simulate in a reasonable amount of time? What type of accuracy do you seem to be getting in your approximation of pi with this upper bound?
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS