The various distributions in the reading this week and last week entail probability curves that mathematically differ according to a group of parameters. Different parameters allow for specification of the shape, scale, and location of the distribution. Discuss the role that these parameters play in establishing the characteristic form for each distribution. Consider why our text doesn't discuss the location parameter very much. Why might that be? Also, if we strip away these parameters from the various distribution formulas, what's typically left? Treat this thread as a conceptual exploration, not a detailed mathematical proof.

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.)