Question

some college advisors noticed the following breakdown of majors for the incoming freshman at their school: 3% math, 22% nursing, 16% psychology, 11% criminal justice, and 48% business. suppose a first - year student was chosen at random. which of the following is the probability distribution for that students major?

Explanation:

Step1: Convert percentages to decimals

Given percentages: \(3\%\) (math), \(22\%\) (nursing), \(16\%\) (psychology), \(11\%\) (criminal justice), \(48\%\) (business). Convert them to decimals: \(3\%=\frac{3}{100} = 0.03\), \(22\%=\frac{22}{100}=0.22\), \(16\%=\frac{16}{100}=0.16\), \(11\%=\frac{11}{100}=0.11\), \(48\%=\frac{48}{100}=0.48\).

Step2: Match the decimals with the columns

Check each table row. In the second - row table: Business \(=0.48\), Criminal Justice \(=0.11\), Math \(=0.03\), Nursing \(=0.22\), Psychology \(=0.16\) which matches the converted decimal values from the percentage breakdown of majors.

Answer:

The second table (with Business \(0.48\), Criminal Justice \(0.11\), Math \(0.03\), Nursing \(0.22\), Psychology \(0.16\)) is the correct probability distribution.