A survey of home-owners found that 59% own less than 2cars, 71% own less than 3

Question

A survey of home-owners found that 59% own less than 2cars, 71% own less than 3 cars, and 9% own 4 or more cars. What is the probability that a randomly chosen home-owners owns 2or 3 cars? What is the probability that a randomly chosenhome-owner owns exactly 2 cars? A survey of home-owners found that 59% own less than 2cars, 71% own less than 3 cars, and 9% own 4 or more cars. What is the probability that a randomly chosen home-owners owns 2or 3 cars? What is the probability that a randomly chosenhome-owner owns exactly 2 cars?

Explanation / Answer

Pr[less than 2] = Pr[0 or 1] = 0.59 Pr[less than 3] = Pr[0 or 1 or 2] = 0.71 Pr[2] = Pr[0 or 1 or 2] - Pr[0 or 1] = 0.71 - 0.59 =0.12 (answer to second question) Pr[4 or more] = 0.09 Pr[3] = 1 - Pr[less than 2] - Pr[2] - Pr[4 or more] = 1 -0.59 - 0.12 - 0.09 = 0.20 Pr[2 or 3] = Pr[2] + Pr[3] = 0.12 + 0.20 =0.32 (answer to first question)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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