please I need help with all these questions

9. [-/7.14 Points] DETAILS WANEFMAC7 8.5.049. MY NOTES Social Security According to a certain news poll, 65% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 37% agreed that it would be a good idea to invest part of their Social Security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions? (Round your answer to two decimal places.) 10. [-/7.14 Points] DETAILS WANEFMAC7 8.5.061. MY NOTES The table shows the results of a survey of 100 authors by a publishing company. New Authors Established Authors Total Successful 5 20 25 Unsuccessful 20 55 75 Total 25 75 100 Compute the following conditional probability. (Enter your probability as a fraction.) An unsuccessful author is established 11. [-/7.14 Points] DETAILS MY NOTES Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT [See Example 3.] There is a 30% chance of rain today and a 40% chance of rain tomorrow. Assume that the event that it rains today is independent of the event that it rains tomorrow. What is the probability that there will be no rain today and no rain tomorrow? 12. [-/7.18 Points] DETAILS MY NOTES Draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. HINT [See Example 3.] There is a 75% chance of rain on Saturday and = 20% chance of rain on Sunday. Assume that the event that it rains on Saturday is independent of the event that it rains on Sunday. What is the probability that it rains on exactly one day over the weekend