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Probability, SM-Bank 052

A random sample of people were asked what is their favourite winter sport.

The table below recorded the results.
 

\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex} \textbf{Sport} \rule[-1ex]{0pt}{0pt} & \textbf{Number of People} \\
\hline
\rule{0pt}{2.5ex} \text{Netball} \rule[-1ex]{0pt}{0pt} & \text{49} \\
\hline
\rule{0pt}{2.5ex} \text{Aussie Rules} \rule[-1ex]{0pt}{0pt} & \text{19} \\
\hline
\rule{0pt}{2.5ex} \text{Rugby League} \rule[-1ex]{0pt}{0pt} & \text{135} \\
\hline
\rule{0pt}{2.5ex} \text{Ice Hockey} \rule[-1ex]{0pt}{0pt} & \text{13} \\
\hline
\end{array}

Using the data from the survey, predict how many people would choose rugby league if 2000 people were surveyed.  (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

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\(1250\)

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\(\text{Total people surveyed}\)

\(=49+19+135+13\)

\(=216\)

\(\therefore\ \text{Predicted number to choose rugby league}\)

\(=P\text{(Rugby League)}\times 2000\)

\(=\dfrac{135}{216}\times 2000\)

\(=1250\)

Filed Under: Probability Tagged With: num-title-ct-core, smc-4225-35-Relative frequency

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