Question

In 2010, there were 30 million people over 65 years of age out of a population of 313 million. By 2050, it is estimated that there will be 87 million people over 65 years of age out of a population of 439 million. Would your chances of meeting a person over 65 at random be greater in 2010 or 2050? Explain.

1.

The chances are greater in ____ (2010 or 2050)

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 _____.

(Round to the nearest thousandth as needed.)

Answer 1

Answer: (a) 2050

(b) 0.09

(c) 0.19

Explanation:

Frequency probability of meeting a person over age 65 in 2010:

people over age of 65 = 30 million

Total population = 313 million

Frequency probability =
`(favorable\ outcome)/(total\ outcome)`

=
`(30)/(313)`

= 0.09

Frequency probability of meeting a person over age 65 in 2050:

people over age of 65 = 87 million

Total population = 439 million

Frequency probability =
`(favorable\ outcome)/(total\ outcome)`

=
`(87)/(439)`

= 0.19

∴ The frequency probability of meeting a person over age 65 in 2050 is greater than the frequency probability of meeting a person over age 65 in 2010.

0.19 > 0.09

So, there are greater chance in 2050 for meeting a person over the age of 65.