The Sky Ranch is a supplier of aircraft parts. Included in stock are 9 altimeters that are correctly calibrated and 2 that are not. Three altimeters are randomly selected without replacement. Let the random variable
x
represent the number that are not correctly calibrated.

Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.)
x
P
(
x
)
0
1
2
3

Find the mean of this probability distribution. Round to one decimal place.
mean =

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.)