Questions: The table shows the educational attainment of the population of a certain country, ages 25 and over, expressed in millions. Find the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or is male.
Years of High School Years of College
Less than 4 4 only Some (less than 4) 4 or more Total
12 25 20 23 80
12 32 18 24 86
24 57 38 47 166
Transcript text: The table shows the educational attainment of the population of a certain country, ages 25 and over, expressed in millions. Find the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or is male.
\begin{tabular}{|c|c|c|c|c|}
\hline \multicolumn{2}{|c|}{ Years of High School } & \multicolumn{2}{c|}{ Years of College } & \\
\hline Less than 4 & 4 only & Some (less than 4) & 4 or more & Total \\
\hline 12 & 25 & 20 & 23 & 80 \\
\hline 12 & 32 & 18 & 24 & 86 \\
\hline 24 & 57 & 38 & 47 & 166 \\
\hline
\end{tabular}
Solution
Solution Steps
Step 1: Identify the Criteria
The criteria for selection are: 4 only, male.
Step 2: Calculate the Total Number of Individuals Meeting the Criteria
The total number of individuals meeting the criteria (before adjusting for overlap) is 143.
Step 3: Adjust for Overlap (if necessary)
After adjusting for overlap, the total number of individuals meeting the criteria is 143.
Step 4: Calculate the Probability
The probability is calculated using the formula \(P = \frac{T}{N}\), where \(T\) is the total number of individuals meeting the criteria and \(N\) is the population size.
Substituting the values, we get \(P = \frac{143}{166}\).
Final Answer:
The probability of selecting an individual who meets the criteria from the population is approximately 0.86.