Multiple choice

The $2013$ U.S. Census recorded the highest educational attainment of all adults aged $25$ years or older in country $T$, one of the most educated parts of the country. The results are given in the two-way table below. Men Women Total High School Diploma 7535 7234 14769 Bachelor's Degree 17170 23455 40625 Master's Degree 45105 41078 86183 Professional Degree 23501 23405 46906 Doctoral Degree 16232 15817 32049 Total 10953 110989 220532 According to the data presented in the table above, if one was told to choose a person at random out of the entire population aged $25$ years or older in country $T$, find the percentage probability that the person he/she chooses turns out to be a man with a doctoral degree.

  1. $2\%$
  2. $7\%$
  3. $4\%$
  4. $51\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The number of men with doctoral degrees is 16232, and the total population is 220532. The required probability percentage is 16232/220532 x 100, approximately 7.36%, which rounds to 7%.

AI explanation

The percentage probability is the number of men with a doctoral degree divided by the total population, multiplied by 100. There are 16232 men with a doctoral degree out of a total population of 220532. This gives (16232 / 220532) multiplied by 100, which equals approximately 7.36 percent.