Questions: The estimated percent distribution of a certain country's population for 2025 is shown in the accompanying pie chart. Find the probability of each eve below. (a) Randomly selecting someone who is under 5 years old The probability is 4.5%. (b) Randomly selecting someone who is 45 years old or over The probability is 47.8%. (c) Randomly selecting someone who is not 65 years old or over The probability is 81.5% (d) Randomly selecting someone who is between 20 and 34 years old The probability is %.

Solution Steps

The pie chart provides the following age distribution percentages:

• Under 5 years: 4.5%
• 5-14 years: 11.6%
• 15-19 years: 6.5%
• 20-24 years: 4.9%
• 25-34 years: 12.7%
• 35-44 years: 14.0%
• 45-64 years: 29.0%
• 65-74 years: 11.0%
• 75 years or over: 5.8%

Part (a): Randomly selecting someone who is under 5 years old

• The probability is directly given as 4.5%.

Part (b): Randomly selecting someone who is 45 years old or over

• Sum the percentages for the age groups 45-64 years, 65-74 years, and 75 years or over: \[ 29.0\% + 11.0\% + 5.8\% = 45.8\% \]
• The probability is 45.8%.

Part (c): Randomly selecting someone who is not 65 years old or over

• Sum the percentages for the age groups under 65 years: \[ 4.5\% + 11.6\% + 6.5\% + 4.9\% + 12.7\% + 14.0\% + 29.0\% = 83.2\% \]
• The probability is 83.2%.

Final Answer