Hi I need help on what is the answers for this activity. Below are the questions and answers with explanation is highly recommended. Other concerns will be in the comment section and the reference for this. I hope that you can help me and surely I will give you full positive feedbacks

". A manufacturer makes three models of a television set, models A, B. and C. A store sells 40% of model A sets, 40% of model B sets, and 20% of model C sets. Of model A sets, 3% have stereo sound; of model B sets, 7% have stereo sound; and of model C sets, 9% have stereo sound. If a set is sold at random, find the probability that it has stereo sound. (3pts) in. The probability that a plane departs on time is P(D)=0.83; the probability that it arrives on time is P(A)=0.82; and the probability that it departs and arrives on time is #0.78. Find the probability that this plane arrives on time given that it departed on time. (5pts) 1. The probability that Harry will correctly answer the toughest question in an exam is 1. The probability that Ron will correctly answer the same question is 4/5. Assuming that the event that Harry will answer correctly and the event that Ron will answer correctly are independent, find the probability of the following events. (5pts) s. Event that both Harry and Ron will answer the question correctly. Event that only Ron will answer the question correctly. in. Suppose that the data concerning the first-year salaries of agriculture graduates is normally distributed with a population mean, . of P60.000 and a population standard deviation, , of P15,000. Find the probability of a randomly selected agriculture graduate earning between P61,500 and P70,000. (3 pts) 11. A fruit juice dispensing machine is regulated so that its moan discharged amount is 100 ml per bottle. If the amount of fruit juice discharged is normally distributed with a standard deviation of 10 ml. " What is the probability that a bottle contains between 90 and 110 ml of fruit juice? (Round off answer to 4 decimal places.) (3 pts] What is the probability that a bottle contains more than 100 ml of fruit juice? (Round off answer to 4 decimal places.) (2pts) What is the 95" percentile? (2pts)