# It is natural to model the gender of children that will be born from a family as a Binomial experiment. Let each childbirth be a Bernoulli trial, where "success" is defined as the child being a female. Let's assume that these Bernoulli trials are independent, each with success probability p = 0.55. A family plans to have 4 children. Let X be the number of females this family will have. Let Y be the number of births until the family get a female child. a. What is the distribution of X?

# It is natural to model the gender of children that will be born from a family as a Binomialexperiment. Let

each childbirth be a Bernoulli trial, where “success” is defined as the

child being a female. Let’s assume that these Bernoulli trials are independent, each with

success probability p = 0.55. A family plans to have 4 children.

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Let X be the number of females this family will have.

Let Y be the number of births until the family get a female child.

a. What is the distribution of X?