Alice, Brit, and Cade each shoot an arrow at the same target. Alice has probability 0.7 of hitting the bullseye, Brit has probability 0.6 and Cade probability of 0.4 of hitting it. Assume their shots are independent of each other. You don't see them shoot but after they've shot, you notice that exactly one arrow has hit the bullseye. a) Given this information, what is the probability that it was Alice's arrow? Brit's arrow? Cade's arrow? b) Verify your answers with a simulation in R.
Alice, Brit, and Cade each shoot an arrow at the same target. Alice has probability 0.7 of hitting the bullseye, Brit has probability 0.6 and Cade probability of 0.4 of hitting it. Assume their shots are independent of each other. You don't see them shoot but after they've shot, you notice that exactly one arrow has hit the bullseye. a) Given this information, what is the probability that it was Alice's arrow? Brit's arrow? Cade's arrow? b) Verify your answers with a simulation in R.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Alice, Brit, and Cade each shoot an arrow at the same target. Alice has probability 0.7 of hitting the
bullseye, Brit has probability 0.6 and Cade probability of 0.4 of hitting it. Assume their shots are
independent of each other. You don't see them shoot but after they've shot, you notice that exactly one
arrow has hit the bullseye.
a) Given this information, what is the probability that it was Alice's arrow? Brit's arrow? Cade's arrow?
b) Verify your answers with a simulation in R.
Transcribed Image Text:Either use R Markdown or copy and paste your script and output into your document. However, your R
code and output by themselves are not adequate. Please report each estimate in a sentence that
indicates what each probability is an estimate of. You are not allowed to use any "if" statements or
loops in your R code except for the loop to repeat the simulation 1 million times.
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