A couple wants to have at least one male child - they will have children until...

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A couple wants to have at least one male child - they will have children until this condition is fulfilled. A discrete random variable X is defined as the total number of children the couple has when the condition is fulfilled. Presuming that they are equally likely to have either boy or a girl at any birth (presuming no multiple births), determine the probability mass function, and cumulative distribution functions of X for X < 10. A couple wants to have at least one male child - they will have children until this condition is fulfilled. A discrete random variable X is defined as the total number of children the couple has when the condition is fulfilled. Presuming that they are equally likely to have either boy or a girl at any birth (presuming no multiple births), determine the probability mass function, and cumulative distribution functions of X for X < 10.

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