Approximately 3.0% of households in the United States have computers. Of those 80%, 90% have Internet access. Find the probability thata L15. household selected at random has a computerand has Internet access. Let: C = computers, I = internet. IIC = internet given computer. a. Whatis the probability Pic AND I] ?| I Round youranswer to the nearest hundredth. b. Are Cand I independent? I I c.Are C and l mutually eclusive?| i Question 7 2 pts The probability that the student enrolls in a math class is 0.4 and the probability that he enrolls in a science class is 0.8. The probability that he enrolls in a math class given that he enrolls in science class is 0.4. Let: M = math class. 5 = science class, MIS = math given science. a. Whatis the probability PiM OR 5) il | Round your answer to the nearest hundredth. b. Are M and S independent?| i c.Are M and 5 mutually exclusive? i i Question 3 2 pts Ascience Olympic team has 120 members. Sixty of the members are advanced in physis. Thirty are advanced in chemistry. The rest of the team are procient in biology. Forty oi the physics meet for practice three timesa week. Twenty oi the chemists and ten of biologists also practice three times a week. Suppose one member of the team is chosen randomly. a. Whatis the probability that the member is advanced in physic and practices three times aweek?' i Round your answer to the nearest hundredth. b. Is being in chemistry part oi the team and not practice three time a week independent?| i C. Is being in physics part oi the team and in biologyat the same time mutually exclusive