A construction company submitted bids for three contracts. The company estimates that it has a 20% chance of winning any given bid. Let X represent the number of bids the company wins. Here is the
probability distribution of X along with summary statistics:

X = # of bids won-
0 1 2 3

P(X)-
0.512 0.384 0.096 0.008

Mean: µx=0.6
Standard deviation: σx=0.69

It costs the company a total of $2,000 to submit these bids, and they stand to gain $10,000 for each bid
they win. Let V represent their net gain from submitting these three bids.
What are the mean and standard deviation of V?
µv= dollars
σv=dollars

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.)