Question
Suppose a couple plans to have 5 children. We are interested in the number of girls they might have. Let the random variable, X =
Suppose a couple plans to have 5 children. We are interested in the number of girls they might have. Let the random variable, X = # of girls. X is known as a discrete random variable with a binomial probability distribution. It takes on discrete (integer) values from 0 to 5, but each value is NOT equally likely. Each has a probability associated with it. Let p = probability of a girl = .52. Let (1 - p) = probability of a boy = .48. The binomial probability distribution has parameters: N=5, "success" defined as having a girl, and p(success) =.52
Make a chart that includes all possible values of X, the frequency of each outcome of X, the probability of each outcome, and the probability distribution of the random variable X.
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