The following table cross-classifies a total of 3783 students at a college accor

Question

The following table cross-classifies a total of 3783 students at a college according to their gender and financial-support status. If a student is selected at random from this college, what is the probability that the student will be female, given that the student receives a financial aid? If a student is selected at random, what is the probability that the student will be male, parent-supported, or both? If two students are selected independently, what is the probability that both of them will be self-supported?

Explanation / Answer

a. P(Female | Financial aid) = N(Female and FInancial aid) / N(Financial aid) = 1231 / (1231+1250) = 0.496

b. P(Male or parent supported) = [ N(Male) + N(Parent supported) - N(Male and parent supported) ] / Total

= (278+287+1250 + 412+287 - 287) / 3783 = 0.589

c. P(self supported) = (325+278)/3783 = 0.159

P(both are self supported) = 0.1592 = 0.025

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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