A professor has noticed that even though attendance is not a component of the gr

Question

A professor has noticed that even though attendance is not a component of the grade for his class, students who attend regularly obtain better grades. In fact, the probability of attending regularly and receiving an "A" is 0.4, while the probability of not attending regularly and receiving an "A" is 0.1. The probability of attending class regularly is 0.7. Find the probability of a) A student receiving an "A" given that he/she attends class regularly b)A student receiving an "A" given that he/she does not attend class regularly

Explanation / Answer

a) P(Receiving A/Attends class regularly) = P(Receiving A and Attends class regularly)/P(Attends class regularly)

P(Receiving A/Attends class regularly) = 0.4/0.7 = 4/7 or 0.5714( rounded to four places of decimal)

b) P(Receiving A/Not Attends class regularly) = P(Receiving A and Not Attends class regularly)/P(Not Attends class regularly)

P(Receiving A/Not Attends class regularly) = 0.1/0.3 = 1/3 or 0.3333 ( rounded to four places of decimal)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.