Please answer 6-10

6. (6 points) A bag contains five red chips, three blue chips, and two yellow chips. Two chips are selected from the bag with replacement. If each chip is equally likely to be selected, determine the probability that two chips of the same color are selected. 7. (6 points) In the current first-year class of a community college, all the students come from three local high schools. Schools I, II, and III supply respectively 30%, 40%, and 30% of the students. The failure rate of students is 4%, 2%, and 3%, respectively. Given that a student does not fail, what is the probability that he or she came from school III? 8. (6 points) The probabilities that stock A will rise in price is 0.7 and that stock B will rise in price is 0.6. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.8. What is the probability that both of the stocks will rise in price? 9. (6 points) A manufacturer of batteries knows that 1% of the batteries produced by the company are defective. Determine the probability that at least 3 batteries of 50 produced will be defective. 10. (6 points) An experiment consists of flipping a coin five times and observing the number of tails. Find the expected value of this experiment