Hi, can you explain in detail with corresponding formulas, I have my answers but I want to verify that are correct. Thank you!

4.7.16) Web crawlers need to estimate the frequency of changes to Web sites to maintain a current index for Web serches. Assume that the changes to a Web site follow a Poisson process with a mean of 3 days. (a) What is the probability that the next change occurs in less than 3.0 days. (b) What is the probability that the time until the next change is greater than 5.0 days? (c) What is the time of the next change that is exceeded with probability 0.95? (d) What is the probability that the next change occurs is more than 8 days, given that it ha not occurred after 2.0 days