Question

A sample of 150 CBC students was taken, and each student filled out a survey. The survey asked students about different aspects of their college and personal lives. The experimenter taking the survey defined the

following events:
A = The student has children
B = The student is enrolled in at least 12 credits
C = The student works at least 10 hours per week
Which of the following best describes the event B^C?

a) Students enrolled in at least 12 credits and working at least 10 hours per week.

b) Students not enrolled in at least 12 credits and not working at least 10 hours per week.

c) Students either enrolled in at least 12 credits or working at least 10 hours per week.

d) Students neither enrolled in at least 12 credits nor working at least 10 hours per week.

Answer 1

The event B^C refers to students enrolled in at least 12 credits and working at least 10 hours per week.

Step-by-step explanation:

The event B^C in the context of the survey described best represents the students who are enrolled in at least 12 credits and working at least 10 hours per week.

This is because the notation ^ (or sometimes written as \(\cap\) in set theory) indicates the intersection of two sets, meaning the outcome must satisfy both conditions A and B simultaneously.

Given the events defined as A = The student has children, B = The student is enrolled in at least 12 credits, and C = The student works at least 10 hours per week, the event B^C encompasses only those students who both take a significant credit load and work a notable number of hours per week.