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Question 6: A sample of adults from a town was taken to determine compound probabilities. Use...

Question 6:

A sample of adults from a town was taken to determine compound probabilities.

Use the table below to answer the following questions:

Healthy

Unhealthy

Man

472

118

Woman

529

376

i) A man is selected at random from the sample. What is the probability of choosing a man who is unhealthy? Write your answer as a percentage correct to 2 decimal places.

ii) A woman is selected at random from the sample. What is the probability of choosing a woman who is healthy? Write your answer as a percentage correct to 1 decimal place.

iii) A team of biologists are using the sample data in the table above to estimate the number of healthy men in the whole town. The population of the town is 80,562. How many healthy men should they expect there to be? You must show your full working out.

iv) Do you think your answer in part iii) is a good estimate? Explain.

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