Question

Consider the table below.

Age Group: 18-29, 30-39, 40-49, 50-59, 60-69, 70 and over
Frequency: 9831, 7845, 6869, 6323, 5410, 5279
What is the complement of P(40-59), or P(40-59')?

Answer 1

The complement of P(40-59) or P(40-59') is 0.8307 or 83.07%.

Step-by-step explanation:

The complement of P(40-59) or P(40-59') can be found by subtracting the probability of P(40-59) from 1. In this case, P(40-59) is the frequency of the age group 40-59 divided by the total frequency of all age groups. So, P(40-59) = 6869 / (9831 + 7845 + 6869 + 6323 + 5410 + 5279) = 6869 / 40557 ≈ 0.1693. The complement, P(40-59'), is then 1 - 0.1693 = 0.8307 or 83.07%.