Question

In 2020, there were 35 million people over 65 years of age out of a population of 303 million. By 2060, it is estimated that there will be 84 million people over 65 years of age out of a population of 443

million. Would your chances of meeting a person over 65 at random be greater in 2020 or 2060? Explain.
The chances are greater in
because the relative frequency probability of meeting a person over age 65 in 2020 is and the relative frequency probability of meeting a person over age 65 in
2060 is
(Round to the nearest thousandth as needed.)

Answer 1

The chances of meeting a person over 65 at random would be greater in 2060 than in 2020 due to the higher relative frequency probability in 2060.

Step-by-step explanation:

In 2020, there were 35 million people over 65 years of age out of a population of 303 million. By 2060, it is estimated that there will be 84 million people over 65 years of age out of a population of 443 million. To determine whether the chances of meeting a person over 65 at random would be greater in 2020 or 2060, we need to compare the relative frequency probability of meeting a person over age 65 in each year.

In 2020, the relative frequency probability can be calculated by dividing the number of people over 65 (35 million) by the total population (303 million):

Relative frequency probability in 2020 = 35 million / 303 million = 0.1155

In 2060, the relative frequency probability can be calculated by dividing the number of people over 65 (84 million) by the total population (443 million):

Relative frequency probability in 2060 = 84 million / 443 million = 0.1894

Therefore, the chances of meeting a person over 65 at random would be greater in 2060 because the relative frequency probability is higher compared to 2020.

Answer 2

The chances of meeting someone over the age of 65 at random are higher in 2060 with a probability of 18.96%, compared to a probability of 11.55% in 2020.

Step-by-step explanation:

To determine whether your chances of meeting a person over 65 would be greater in 2020 or 2060, we can calculate the probability for each year and compare them. In 2020, there were 35 million people over 65 out of a population of 303 million. The probability of meeting someone over 65 at random in 2020 is 35 million ÷ 303 million, which simplifies to approximately 0.1155 or 11.55% when rounded to the nearest thousandth.

By 2060, it is estimated that there will be 84 million people over 65 out of a population of 443 million. The probability of meeting someone over 65 at random in 2060 is 84 million ÷ 443 million, which simplifies to approximately 0.1896 or 18.96% when rounded to the nearest thousandth.

Comparing these probabilities, we can see that the chances of meeting a person over 65 at random are higher in 2060 than in 2020. Therefore, the correct answer is: The chances are greater in 2060 because the relative frequency probability of meeting a person over age 65 in 2020 is 0.1155 and the relative frequency probability of meeting a person over age 65 in 2060 is 0.1896.