(a)The number of children living in each of a large number of randomly selected households is an example of which data type? Be specific and explain your reasoning.(b)"The midpoint of the line segment joining the first quartile and the third quartile of any distribution is the median." Is this statement true or false? Explain your answer.(c)Suppose a couple is planning to have two children. Let B1 be the event that the first child is a boy and let B2 be the event that the second child is a boy. You and your friend get into an argument about whether B1 and B2 are independent events. You think they are independent, and your friend thinks they aren't. Which of you is correct? How could you settle the argument?(d)Historically, the most popular measure of variability has been the standard deviation, the square root of the weighted sum of squared deviations from the mean, weighted by their probabilities. Suppose analysts had always used an alternative measure of variability, the weighted sum of the absolute deviations from the mean, again weighted by their probabilities. Do you think this would have made a big difference in the theory and practice of probability and statistics? Explain your reasoning!