The average birth weight in the US is = 120 ounces (7 pounds, 8 ounces) with a standard deviation of = 16 ounces (1 pound). Use this information to answer questions 1-4. A. What is the Z-score for a newborn weighing 112 ounces(7 pounds)? B. What is the probability that a child will weighless than 112 ounces (7 pounds) at birth? That is, what isp(X <112)? (Hint: use the Z-score you found for the firstquestion.) C. So how big is a "big baby"? Let's see how big anewborn must be to be in the top 1% heaviest. First, what is theZ-score you need to use to find the top 1%? D. How much does that big baby weigh? In otherwords, what is the value of X such that p(X) <0.01? (Hint: usethe Z-score you found in thelast question.) Enter your answer inounces, not pounds.