Consider a 2x2 square board containing a circle of radius R=1. Assume that darts fall uniformly and randomly within the square, we are interested in how many would land in the circle. Build a simulation model in Excel to estimate T. (Assume the value of is unknown). 2- R=1 a) Explain your model. What are your input variables, what are your output variables? [Hint: Let p be the true probability of a dart landing in the circle, define an output variable Y to represent the outcome of your experiment so that p = E(Y].] b) Now conduct 400 simulation runs in spreadsheets and derive a 95% confidence interval for the value of p. Using this, next generate a 95% confidence interval for л. Present both your formulas and results.
Consider a 2x2 square board containing a circle of radius R=1. Assume that darts fall uniformly and randomly within the square, we are interested in how many would land in the circle. Build a simulation model in Excel to estimate T. (Assume the value of is unknown). 2- R=1 a) Explain your model. What are your input variables, what are your output variables? [Hint: Let p be the true probability of a dart landing in the circle, define an output variable Y to represent the outcome of your experiment so that p = E(Y].] b) Now conduct 400 simulation runs in spreadsheets and derive a 95% confidence interval for the value of p. Using this, next generate a 95% confidence interval for л. Present both your formulas and results.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Consider a 2x2 square board containing a circle of radius R=1.
Assume that darts fall uniformly and randomly within the square,
we are interested in how many would land in the circle. Build a
simulation model in Excel to estimate T. (Assume the value of
is unknown).
2-
R=1
a) Explain your model. What are your input variables, what are your output variables? [Hint: Let
p be the true probability of a dart landing in the circle, define an output variable Y to represent
the outcome of your experiment so that p = E(Y].]
b) Now conduct 400 simulation runs in spreadsheets and derive a 95% confidence interval for the
value of p. Using this, next generate a 95% confidence interval for л. Present both your
formulas and results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fdaea1-c4f4-414f-a884-b61c616a4ebc%2F7220e1fe-a3e2-4f08-904c-4f61481bf155%2Fgw1i8s9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a 2x2 square board containing a circle of radius R=1.
Assume that darts fall uniformly and randomly within the square,
we are interested in how many would land in the circle. Build a
simulation model in Excel to estimate T. (Assume the value of
is unknown).
2-
R=1
a) Explain your model. What are your input variables, what are your output variables? [Hint: Let
p be the true probability of a dart landing in the circle, define an output variable Y to represent
the outcome of your experiment so that p = E(Y].]
b) Now conduct 400 simulation runs in spreadsheets and derive a 95% confidence interval for the
value of p. Using this, next generate a 95% confidence interval for л. Present both your
formulas and results.
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