The temperatures, in degrees Fahrenheit, at noon for the past four days were 58, 56, 44, and 58. The mean, median, and mode were calculated for these four values. The next day, the temperature, at noon, was 57 degrees Fahrenheit. Which statement best describes the change to the mean, median, and mode of the data after 57 was added to the list? Select one: The median was the only measure that changed. The mean was the only measure that changed. The mean and the median changed, but not the mode. The median and the mode changed, but not the mean.

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.)