A campus program evenly enrols undergraduate and graduate students.If a random sample of four students is selected from the program to be interviewed about the introduction of a new fast-food outlet on the ground floor of the campus building,what is the probability that all four students selected are undergraduate students?
A) 0.0256
B) 1.00
C) 0.0625
D) 0.16

Question

Quizplus · Accepted Answer

Since the program evenly enrolls undergraduate and graduate students, the probability of selecting an undergraduate student is 0.5.

To find the probability that all four selected students are undergraduate, we need to multiply the probabilities of each individual selection.

P(all four are undergraduates) = 0.5 x 0.5 x 0.5 x 0.5 = 0.0625

Therefore, the correct answer is C) 0.0625.

A Campus Program Evenly Enrols Undergraduate and Graduate Students