A young couple decides to try to have children until they have a boy. For financial reasons, the couple decides that they are going to stop trying when they have three children, whether they have a boy or not. (Assume that having a boy or a girl is equally likely, and that the child's gender in each birth is independent of the gender in the other births.)Let the random variable X be the number of children the couple has. a. What is the sample space S in this case? In other words, what are all the possible outcomes in this case? (Use B for a boy and G for a girl). b. Using simple principles of probability, find the probability of each of the outcomes listed in the previous question. c. Write down the value of the random variable X that is associated with each outcomed. Using what you found in the question above, summarize the probability distribution of X in a table.XP(X=x)
A young couple decides to try to have children until they have a boy. For financial reasons, the couple decides that they are going to stop trying when they have three children, whether they have a boy or not. (Assume that having a boy or a girl is equally likely, and that the child's gender in each birth is independent of the gender in the other births.)Let the random variable X be the number of children the couple has.
a. What is the
b. Using simple principles of
c. Write down the value of the random variable X that is associated with each outcomed.
Using what you found in the question above, summarize the probability distribution of X in a table.XP(X=x)
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