Question 2 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
At a large university, 20% of students are enrolled in the nursing program. The dean of students selects a random sample of 20 students and records n = the number of students enrolled in the nursing program. What is an appropriate assignment of digits to the outcomes for a simulation of this random process?
Answer
A
Let 1 = the student is enrolled in the nursing program. Let 2–5 = the student is not enrolled in the nursing program. Skip the digits 6–9, and 0.
B
Let 0 and 1 = the student is enrolled in the nursing program. Let 2–5 = the student is not enrolled in the nursing program. Skip the digits 6, 7, 8, 9, and 0.
C
Let 1 = the student is enrolled in the nursing program. Let 2–9 = the student is not enrolled in the nursing program. Skip the digit 0.
D
Let 1 and 2 = the student is enrolled in the nursing program. Let 3–9 = the student is not enrolled in the nursing program. Skip the digit 0.
Explanation
A nursing student should occur in 20% of simulated outcomes, or 1 out of every 5 equally likely outcomes. Choice A uses the five digits 1–5, assigning 1 to nursing and 2–5 to not nursing, so the simulated nursing rate is 1/5 = 20%.
AI-written and checked against the verified answer.