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?