Suppose that the number of pairs of clothes purchased in a year by Europeans is normally distributed and the mean number of clothes is 10 a year. Suppose that a researcher takes 2,950,000 samples of Europeans, and each sample consists of 1000 Europeans. She asks each European how many pairs of clothes they buy in a year. She then calculates a mean for each of the 2,950,000 samples. If she added up the mean for each of the 2,950,000 samples, and divided by 2,950,000, what would be answer that she would obtain?

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.)