Question: Recently married, a young couple plans to continue having children until they have their first girl. Suppose the probability that a child is a girl

Recently married, a young couple plans to continue having children until they have their first girl. Suppose the probability that a child is a girl is 1 2 , the outcome of each birth is an independent event, and the birth at which the first girl appears has a geometric distribution. What is the couple's expected family size? Is the geometric pdf a reasonable model here? Discuss.

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