Question

ashleys
table for exercises 49–52
ages | frequency, f (in millions)
--- | ---
under 18 | 73.0
18 to 24 | 30.2
25 to 44 | 87.6
45 to 64 | 83.3
65 and over | 54.1
solve
using a frequency distribution to find probabilities in exercises 49–52, use the frequency distribution at the left, which shows the population of the united states by age group, to find the probability that a u.s. resident chosen at random is in the age range. (source: u.s. census bureau)

1. 18 to 24 years old
2. 25 to 44 years old
3. 45 to 64 years old
4. 65 years old and older

Explanation:

Step1: Calculate total population

Sum all frequencies: $73.0 + 30.2 + 87.6 + 83.3 + 54.1 = 328.2$ (millions)

Step2: Find probability for 18-24

Probability = $\frac{\text{Frequency of 18-24}}{\text{Total population}} = \frac{30.2}{328.2} \approx 0.092$

Step3: Find probability for 25-44

Probability = $\frac{\text{Frequency of 25-44}}{\text{Total population}} = \frac{87.6}{328.2} \approx 0.267$

Step4: Find probability for 45-64

Probability = $\frac{\text{Frequency of 45-64}}{\text{Total population}} = \frac{83.3}{328.2} \approx 0.254$

Step5: Find probability for 65+

Probability = $\frac{\text{Frequency of 65+}}{\text{Total population}} = \frac{54.1}{328.2} \approx 0.165$

Answer:

1. ~0.092
2. ~0.267
3. ~0.254
4. ~0.165