Three subtracted from the product of two and a number n

A travel company sells holidays and wants to survey 500 customers stratified by country visited, complete the table.

OlgaM077 [116]

Answer:

$\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|$

Step-by-step explanation:

$\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\$Number of Customers &968& 248& 2042& 742& 4000\\$Number of sample&&&&&&\end{array}\right|$

Since the company wants to survey 500 customers by the countries visited, the number of samples from each country will be proportional to the number of customers.

For UK, Number of Samples $=\dfrac{968}{4000}X500=121$

For France, Number of Samples $=\dfrac{248}{4000}X500=31$

For Spain, Number of Samples $=\dfrac{2042}{4000}X500\approx 255$

For Italy, Number of Samples $=\dfrac{742}{4000}X500\approx 93$

The completed table therefore is:

$\left|\begin{array}{c|c|c|c|c||c}$Country Visited&$UK& $France& $Spain& $Italy &$Total\\&&&&&\\$Number of Customers &968& 248& 2042& 742& 4000\\&&&&&\\$Number of sample&121&31&255&93&500\end{array}\right|$

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