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Participants at the State Fair Were Given 8 Rings to Toss

question 54

Essay

Participants at the state fair were given 8 rings to toss. The number x of rings tossed onto a stick can be approximated by the probability distribution in the table. Use the probability distribution to find the mean and variance of the probability distribution.
xf(x)00.01010.03020.07030.07040.10050.21060.32070.13080.060\begin{array} { | l | c | } \hline x & f ( x ) \\\hline 0 & 0.010 \\\hline 1 & 0.030 \\\hline 2 & 0.070 \\\hline 3 & 0.070 \\\hline 4 & 0.100 \\\hline 5 & 0.210 \\\hline 6 & 0.320 \\\hline 7 & 0.130 \\\hline 8 & 0.060 \\\hline\end{array}


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