Question

Age full-time part-time unemployed 0—17 22 174 375 18—25 236 200 349 26—34 313 69 22 35—49 343 197 230 50 321 172 368 if a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?

Answer 1

To calculate the probability, find the number of people who are either under 18 or employed part-time and divide it by the total population. Subtract the number of people who are both under 18 and employed part-time to avoid double counting. The probability is approximately 10.65%.

Step-by-step explanation:

To calculate the probability, we need to find the number of people who are either under 18 or employed part-time and divide it by the total population. From the given data, the number of people under 18 is 375 and the number of employed part-time is 174. To avoid double-counting, we need to subtract the number of people who are both under 18 and employed part-time, which is 174. So, the total number of people who are either under 18 or employed part-time is 375 + 174 - 174 = 375.

Next, we need to find the total population. Summing up the numbers of each age group, we get a total of 22 + 174 + 375 + 236 + 200 + 349 + 313 + 69 + 22 + 343 + 197 + 230 + 321 + 172 + 368 = 3,521.

Therefore, the probability that a randomly chosen person is either under 18 or employed part-time is 375/3,521 ≈ 0.1065, or approximately 10.65%.