Please answer these questions and SHOW YOUR WORK. Will leave good review, thank you ?

Problem # 19 ( pts) ) USA Today reported that 11 % of all books sold are of the romance genre. If a local bookstore sells 316 books on a given day, what is the probability that a) Exactly 38 are romances? 17 b) At least 25 are romances? Problem # 20 ( pts). A company has a new process for manufacturing large artificial sapphires. The production of each gem is expensive, so the number available for examination is limited. In a trial run a sample of 36 sapphires are produced. The mean weight for the sample is 6.75 carats. Assume that the variable is approximately normally distributed and the standard deviation of the population is 0.33 carats. Find the 95% confidence interval of the population mean