Problem

The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. Find the probability that a randomly selected Martian, aged 25 and over, has not completed four years (or more) of college \begin{tabular}{|l|c|c|c|c|c|} \hline \multirow{2}{*}{ Male } & \multicolumn{2}{|c|}{ Years of High School } & \multicolumn{2}{|c|}{ Years of College } & \multirow{2}{*}{ Letal } \\ \cline { 2 - 6 } & Less than $\mathbf{4}$ & $\mathbf{4}$ only & Some (less than 4) & $\mathbf{4}$ or more & Tota \\ \hline Female & 15 & 32 & 21 & 17 & 85 \\ \hline Total & 14 & 27 & 19 & 33 & 161 \\ \hline \end{tabular} The probability is (Simplify your answer.)

Solution

Step 1 :The problem is asking for the probability that a randomly selected Martian, aged 25 and over, has not completed four years (or more) of college. This means we need to find the total number of Martians who have not completed four years of college and divide it by the total population of Martians aged 25 and over.

Step 2 :From the table, we can see that the total population of Martians aged 25 and over is 161 million. The number of Martians who have completed four years or more of college is 33 million.

Step 3 :Therefore, the number of Martians who have not completed four years of college is the total population minus the number who have completed four years or more of college. This can be calculated as \(161 - 33 = 128\) million.

Step 4 :The probability is then calculated by dividing the number of Martians who have not completed four years of college by the total population. This can be calculated as \(\frac{128}{161} = 0.795\).

Step 5 :Final Answer: The probability that a randomly selected Martian, aged 25 and over, has not completed four years (or more) of college is approximately \(\boxed{0.795}\).

From Solvely APP
Source: https://solvelyapp.com/problems/VgrB8SDK3R/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download