Casey read a report that said the probability that a randomly selected American is left-handed is 14 % , percent. She was curious how many left-handed students to expect in a class of 30 students. She simulated 50 classes of 30 students where each student selected had a 0.14 point, 14 probability of being left-handed. Casey counted how many left-handed students were in each simulated class. Here are her results: 0 1 2 3 4 5 6 7 8 # of left-handed students Use her results to estimate the probability that there are more than 5 left-handed students in a class of 30 30 students. Give your answer as either a fraction or a decimal.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)