Question

# In a large town, the size of the population is 1200. 744 of the citizens have...

In a large town, the size of the population is 1200. 744 of the citizens have a healthy diet. (You may assume that all sampling is done WITH REPLACEMENT)

1. What is the proportion of the population that has a healthy diet? (express the proportion as a decimal)

2. If one citizen is randomly selected from the population, what is the probability that the citizen has a healthy diet? (express the probability as a decimal)

3. If one citizen is randomly selected from the population, what is the probability that the citizen does not have a healthy diet? (express the probability as a decimal)

4. If 4 citizens are randomly selected from the population, what is the probability that all of them have a healthy diet? (you can round to 5 or more decimal places)

5. If 4 citizens are randomly selected from the population, what is the probability that exactly 2 have a healthy diet? (you can round to 5 or more decimal places)

6. If 4 citizens are randomly selected from the population, what is the probability that at least 2 have a healthy diet? (you can round to 5 or more decimal places)

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