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Watch a soccer game; $X=$ the total number of goals scored, up to a maximum of 10 .
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In this case, $X$ represents the total number of goals scored in a soccer game, up to a maximum of 10. Show more…
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Watch a soccer game; $X=$ the total number of goals scored.
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The following is the record of goals scored by team A in a football session: $$ \begin{array}{|l|c|c|c|c|c|} \hline \text { No. of goals scored } & 0 & 1 & 2 & 3 & 4 \\ \hline \text { No. of matches } & 1 & 9 & 7 & 5 & 3 \\ \hline \end{array} $$ For the team $\mathrm{B}$, mean number of goals scored per match was 2 with a standard deviation $1.25$ goals. Find which team may be considered more consistent?
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If two soccer teams each score goals at a rate of $r$ goals per minute, the probability that $n$ goals will be scored in $t$ minutes is $P=\frac{(r)^{n}}{n !} e^{-r t} .$ Take $r=\frac{1}{25} .$ Show that for a 90 -minute game, $P$ is maximized with $n=3 .$ Briefly explain why this makes sense.
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