2. Which of the following would have a binomial distribution? A. A couple will have children until they have three girls or five children. X is the number of children in the family. B. Max the magician (who practices flipping coins) will call flips of a coin in the air. X is the number of correct calls in 10 flips. C. Neither of these is binomial.
B is a binomial, since there are a fixed number of tosses, 10, a fixed probability p, and there are only two possible outcomes on each toss
. A set of four cards consists of two red cards and two black cards. The cards are shuffled thoroughly, and I am dealt two cards. I found the number of red cards X in these two cards. The random variable X has which of the following probability distributions? A. The binomial distribution with parameters n = 4 and p = 0.5 B. The binomial distribution with parameters n = 2 and p = 0.5 C. Neither choice is correct.
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