A manager at a large company wants to understand whether the employees are feeling overworked while completing a project. The company has 200 employees working on the project all over the world, but the manager only has time
and money to collect information from 50 people.
For this situation, which would be the best way to collect data-an experiment, a survey, or another type of
observational study? Explain your reasoning.
Describe a good method that the manager could use to select the 50 people for the study. Why is your proposed
method better than collecting information from the 50 people working on the project at a particular location?

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.)