Researchers aim to determine what is the true average proportion of people in the U. S. pay their credit card bills on time. Researchers sample 50 U. S. homes at a time, and calculate within each sample the average proportion of people that pay their credit card bills on time. The data from these samples of 50 U. S. people is shown on the sampling distribution below. Identify what one of the dots above the number "0.32" means. Select the best answer from the options below.

In the sample of 50 U. S. people, one person paid their credit card bills on time 32% of the time.

2 people in a sample of 50 U. S. people paid their credit card bills on time 32% of the time.

In one sample of 50 U. S. people, the average proportion of people who pay their credit card bills on time is 32%

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.)