In 2010, there were 40 million people over 65 years of age out of a population of 311 million. By 2050, it is estimated that there will be 82 million people over 65 years of age out of a population of 435 million. Would your chances of meeting a person over 65 at random be greater in 2010 or 2050? Explain.
The chances are greater in _____ because the relative frequency probability of meeting a person over age 65 in 2010 is ______ and the relative frequency probability of meeting a person over age 65 in 2050 is _______
2010: 40/311 = 0.1286
2050: 82/435 = 0.1885
so, what do you think?
The chances of meeting a person over 65 at random would be greater in 2050 compared to 2010.
To explain why, we can look at the relative frequency probabilities.
In 2010, out of a population of 311 million, there were 40 million people over 65 years of age. To calculate the relative frequency probability, we divide the number of people over 65 by the total population:
Relative frequency probability in 2010 = (40 million / 311 million) ≈ 0.1286
In 2050, it is estimated that there will be 82 million people over 65 years of age out of a population of 435 million. Similarly, we can calculate the relative frequency probability:
Relative frequency probability in 2050 = (82 million / 435 million) ≈ 0.1885
Comparing the two relative frequency probabilities, we can see that the probability of meeting a person over 65 is higher in 2050 (0.1885) compared to 2010 (0.1286).
Therefore, your chances of meeting a person over 65 at random would be greater in 2050.