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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 2CYU
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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?
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