Consider randomly selecting a single individual and having that person test drive 3 different vehicles. define events a1, a2, and a3 by a1 = likes vehicle #1 a2 = likes vehicle #2 a3 = likes vehicle #3. suppose that p(a1) = 0.55, p(a2) = 0.75, p(a3) = 0.70, p(a1 ∪ a2) = 0.90, p(a2 ∩ a3) = 0.30, and p(a1 ∪ a2 ∪ a3) = 0.84. -g

Which of the following are independent events? a) knowing that it is going to rain tomorrow, and bringing an umbrella to schoolb) knowing that you have to get up early tomorrow, and going to bed before 9 p.mc) knowing that it is going to rain tomorrow, and going to bed before 9 p.md) knowing that you have a test in school tomorrow, and studying thw night before