i. Construct a contingency table to represent the information above. One of these countries is chosen at random. Find the probability that The country chosen has a low GDP or a medium birth rate. ii. The country chosen has a low birth rate, given that it does not have a medium GDP.

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Chapter1: Combinatorial Analysis
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(b) Tiffany obtained data about the gross domestic product (GDP) and the birth rate
for 170 countries. She classified each GDP and each birth rate as either "low",
"medium" or "high". There were 74 countries that had a medium GDP and 43
countries that had a high GDP. Among the countries that have 58 low birth rate,
there were 3 countries that have a low GDP and 20 countries that have a medium
GDP, whereas among the countries that have high birth rate, there were 45
countries that have a low GDP, 12 countries have a medium GDP and no country
has a high GDP.
i. Construct a contingency table to represent the information above.
One of these countries is chosen at random. Find the probability that
The country chosen has a low GDP or a medium birth rate.
ii.
iii.
The country chosen has a low birth rate, given that it does not have a medium
GDP.
iv. States with a reason whether or not the events 'the country chosen has a
medium GDP' and 'the country chosen has a medium birth rate' are
independent.
Transcribed Image Text:(b) Tiffany obtained data about the gross domestic product (GDP) and the birth rate for 170 countries. She classified each GDP and each birth rate as either "low", "medium" or "high". There were 74 countries that had a medium GDP and 43 countries that had a high GDP. Among the countries that have 58 low birth rate, there were 3 countries that have a low GDP and 20 countries that have a medium GDP, whereas among the countries that have high birth rate, there were 45 countries that have a low GDP, 12 countries have a medium GDP and no country has a high GDP. i. Construct a contingency table to represent the information above. One of these countries is chosen at random. Find the probability that The country chosen has a low GDP or a medium birth rate. ii. iii. The country chosen has a low birth rate, given that it does not have a medium GDP. iv. States with a reason whether or not the events 'the country chosen has a medium GDP' and 'the country chosen has a medium birth rate' are independent.
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