(Steps Shown) A couple plans to have three children. Use the letter G to indicate the event that a child is a girl, and use the letter B to indicate the
Question: A couple plans to have three children. Use the letter G to indicate the event that a child is a girl, and use the letter B to indicate the even that a child is a boy.
- Write down all possible arrangements of the sexes of the three children.
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Let the random variable
X
be the number of girls the couple has. Using your information from part (a), create the probability distribution of
X
by filling in the values in the table:
- Create a probability histogram for the random variable X .
- Describe the event X < 2 in words. What is P( X < 2)?
- Express the event "the couple has at least 1 girl" in terms of X . What is the probability of this event?
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