College

Use the accompanying frequency distribution, which shows the number of voting-age citizens in a certain country (in millions) by age, to find the probability that a voting-age citizen chosen at random is in the age range 45 to 64 years old.

Age Distribution (in millions):
- 18 to 24 years: 46.4
- 25 to 44 years: 51.7
- 45 to 64 years: 75.6
- 65 years and older: 44.6

Answer :

Final answer:

The probability that a voting-age citizen chosen at random is in the age range 45 to 64 years old in this specific country is approximately 0.346 or 34.6%.

Explanation:

The question is asking you to find the probability that a voting-age citizen chosen at random is in the age range 45 to 64 years old, given the numbers 46.4, 51.7, 75.6, 44.6. These numbers represent the millions of people in different age groups. Since probability is defined as desired cases over total cases, we need to calculate the total first, which is the sum of these four numbers, making it 218.3 million. The desired case here is the group aged 45-64 years, which we can assume from the numbers given to be 75.6 million. To find the probability, we divide the desired by the total, i.e., 75.6/218.3 which equals approximately 0.346 or 34.6% when expressed as a percentage.

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