Boys or Girls? Worldwide, the proportion of babies who are boys is about 0.51 . A couple hopes to have 3 children and we assume that the sex of each child is independent of the others. Let the random variable X represent the number of girls in the three children, so X might be 0, 1, 2, or 3. Give the probability function for each value of X.

Round your answers to three decimal places.

x
0
1
2
3
Enter your answer; probability of x = 0
Enter your answer; probability of x = 1
Enter your answer; probability of x = 2
Enter your answer; probability of x = 3

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.)