In a survey of 300 college graduates, 46% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected without replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their
College major?
A) 0.203
B) 0.102
C) 0.0973
D) 0.797

Question

Quizplus · Accepted Answer

The probability of selecting 3 graduates who entered a profession closely related to their college major is 0.203. This is calculated by multiplying the probability of selecting a graduate who entered a profession closely related to their college major (0.46) by itself 3 times, and then multiplying by the probability of not selecting a graduate who entered a profession closely related to their college major (0.54) 6 times. This gives us the following equation:(0.46)^3 * (0.54)^6 = 0.203

In a Survey of 300 College Graduates, 46% Reported That