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# Design and conduct a simulation using a geometric probability model. Then report the results using appropriate numerical and graphical summaries.Sean successfully handed off his baton 95 % of the time in the 4 $\times$ 4 relay last season.

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One option to design and conduct a simulation would be to create a spinner. A spinner is divided into two sectors, one containing $95\%$ of the spinner's area and the other $100\%-95\%=5\%$ of the spinner's area.

Find the measure of the central angle of each sector.

\begin{align*} 95\%\cdot360^\circ&=0.95\cdot 360^\circ=342^\circ\\ 5\%\cdot360^\circ&=0.5\cdot 360^\circ=18^\circ\\ \end{align*}

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