Questions: The table shows the educational attainment of the population of a 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 some college, but less than four years. Years of High School Years of College --- --- --- --- --- Mase Less than 4 4 only Some (less than 4) 4 Female 16 24 24 Total 12 32 19 43 28 56 The probability is .

The table shows the educational attainment of the population of a 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 some college, but less than four years. Years of High School Years of College --- --- --- --- --- Mase Less than 4 4 only Some (less than 4) 4 Female 16 24 24 Total 12 32 19 43 28 56 The probability is .
Transcript text: The table shows the educational attainment of the population of a 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 some college, but less than four years. \begin{tabular}{l|c|c|c|c} \cline { 2 - 4 } & \multicolumn{2}{|c|}{ Years of High School } & \multicolumn{2}{c}{ Years of Collec } \\ \cline { 2 - 5 } Mase & Less than 4 & 4 only & Some (less than 4) & 4 \\ \cline { 2 - 5 } Female & 16 & 24 & 24 & \\ \cline { 2 - 5 } Total & 12 & 32 & 19 & 43 \\ \cline { 2 - 5 } & 28 & 56 & \end{tabular} The probability is $\square$ $\square$. (Type an integer or a simplified fraction.)
failed

Solution

failed
failed

Solution Steps

To find the probability that a randomly selected person, aged 25 or over, has completed four years of high school only or some college but less than four years, we need to calculate the total number of people who fall into these categories and divide it by the total population considered. Specifically, we will sum the number of people who have completed four years of high school only and those who have completed some college (less than four years), and then divide this sum by the total population.

Step 1: Identify Relevant Data

We are given the following data regarding educational attainment for the population aged 25 and over:

  • Number of people who completed 4 years of high school only: \( 32 \)
  • Number of people who completed some college (less than 4 years): \( 19 \)
  • Total population aged 25 and over: \( 84 \) (calculated as \( 28 + 56 \))
Step 2: Calculate the Favorable Outcomes

The total number of people who have completed either 4 years of high school only or some college (less than 4 years) is: \[ \text{Favorable Outcomes} = 32 + 19 = 51 \]

Step 3: Calculate the Probability

The probability \( P \) that a randomly selected person aged 25 or over falls into the specified categories is given by: \[ P = \frac{\text{Favorable Outcomes}}{\text{Total Population}} = \frac{51}{84} \]

Step 4: Simplify the Probability

To simplify \( \frac{51}{84} \), we find the greatest common divisor (GCD) of \( 51 \) and \( 84 \), which is \( 3 \): \[ \frac{51 \div 3}{84 \div 3} = \frac{17}{28} \]

Final Answer

The probability that a randomly selected person, aged 25 or over, has completed four years of high school only or some college but less than four years is: \[ \boxed{\frac{17}{28}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Find the absolute maximum and absolute minimum values of f(x) = (x^2 - 16) / (x^2 + 16) on the interval [-5,5]. a) Absolute maximum b) Absolute minimum
failedAnswered
Solve u^2=36 where u is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". u=
failedAnswered
Factor 21r + 24s
failedAnswered
True or False: A well-written thesis is a commitment to the reader and must be adhered to throughout the essay by maintaining the order of the points as mentioned in the thesis. Select ONE answer, then click the submit button. True False
failedAnswered
Solve application problems using quadratic equations. 2. A positive real number is 4 less than another. If the sum of the squares of the two numbers is 72 , then find the numbers.