Suppose that we wish to find the expected number of girls for a four-child family. Complete the following probability distribution assuming that girls and boys are equally likely. Question content area bottom Part 1 Complete the probability distribution. Number of Girls, x Probability P(x) Product xtimesP(x) 0 one sixteenth 0 1 one fourth one fourth 2 three eighths three fourths 3 one fourth three fourths 4 one sixteenth one fourth (Simplify your answers.) Part 2 The expected value E(x) of the number of girls in a four-child family is the sum of the products in the far right column above, which is enter your response here. (Type an integer or a simplified fraction.) Part 3 Does the answer for the expected value agree with your intuition? Explain. A. Boys and girls are equally likely, so "half" the children are expected to be girls. The answer for the expected value agrees. B. Boys and girls are not equally likely, so less than "half" the children are expected to be girls. The answer for the expected value does not agree. C. Boys and girls are equally likely, so "half" the children are expected to be girls. The answer for the expected value does not agree. D. Boys and girls are not equally likely, so more than "half" the children are expected to be girls. The answer for the expected value agrees.
