(06.01)What type of association does the graph show between x and y? A scatter plot is shown. Data points are located at 1 and 1, 3 and 4, 2 and 2, 4 and 3, 2 and 6, 6 and 7, 7 and 4, 5 and 5, 6 and 2, 9 and 5.

Linear positive association
Nonlinear positive association
Nonlinear negative association
No association

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.)