Which grade of tire is providing better quality? explain. choose the correct answer below. a. grade y provides the better quality. while the mean of grade x is closer to the expected mean, the standard deviation of grade y is much smaller. b. grade x provides the better quality. while the mean of grade y is closer to the expected mean, the standard deviation of grade x is much smaller. c. grade y provides better quality because its mean is much smaller. d. grade x provides better quality because its mean is much smaller.

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.)