Question: Find the expected value for the number of girls in a family with three children, assuming that boys and girls are equally likely. Use the probability distribution function given in Example.
Example: Probability Distribution Function for Number of Girls Suppose that a family has three children and that the probability of a girl is 1/2 for each birth. Define the random variable X = number of girls among the three children. Possible values for X are 0, 1, 2, 3. What are the probabilities for these values?