Suppose That 60% of the Students Do Homework Regularly

question 70

Multiple Choice

Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly?

• A) 0.286
• B) 0.857
• C) 0.143
• D) 0.429

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Definitions:

Altruism

The selfless concern for the well-being of others, often leading to acts of kindness without expectation of reward.

Self-Discipline

The capacity to manage one's emotions and conquer personal shortcomings, along with the determination to follow through on what is believed to be correct, despite being tempted to give up.

Coerced

Being forced to do something or being pressured into it against one's will.

Conscientious

Characterized by a person's desire to do their work or fulfill their duties well and thoroughly.