Question 4 • 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. The dean decides to simulate this random process by using a random number table. He assigns the digits to the outcomes. 1 = student enrolled in nursing program2–5 = student not enrolled in nursing programSkip 6–9 and 0
Answer
A
He can select a row of the random number table and read 20 single digits between 1 and 5. He will record the mean of the 20 digits.
B
He can select a row of the random number table and read 20 single digits between 1 and 5. He will record the number of digits that are a 1.
C
He can select a row of the random number table and read 100 single digits between 1 and 5. He will record the number of digits that are a 1.
D
He can select a row of the random number table and read 100 single digits between 1 and 5. He will record the percentage of the digits that are a 1.
Explanation
Among the usable digits 1–5, one digit (1) represents a nursing student, so the simulated chance is 1 out of 5, or 20%. The sample has 20 students, so read 20 usable digits and count how many are 1s; that count is the value of n. Choice B describes this process.
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