Question 4 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
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 student’s major?
Answer
A
Business Criminal Justice Math Nursing Psychology 0.03 0.11 0.48 0.22 0.16
B
Business Criminal Justice Math Nursing Psychology 0.48 0.11 0.03 0.22 0.16
C
Business Criminal Justice Math Nursing Psychology 0.48 0.11 0.30 0.22 0.16
D
Business Criminal Justice Math Nursing Psychology 0.22 0.03 0.16 0.48 0.11
Explanation
A probability distribution pairs each major with its share of incoming students. In the order shown, Business is 0.48, Criminal Justice is 0.11, Math is 0.03, Nursing is 0.22, and Psychology is 0.16. These probabilities add to 1, so choice B gives the correct distribution.
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