The average birth weight in the US is µ ≈ 120 ounces (7 pounds, 8 ounces) with a standard deviation of σ = 16 ounces (1 pound). Use this information to answer questions 1-4.
1. What is the Z-score for a newborn weighing 112 ounces (7 pounds)?
2. What is the probability that a child will weigh less than 112 ounces (7 pounds) at birth? That is, what is p(X<112)? (Hint: use the Z-score you found for the first question.)
3. So how big is a "big baby"? Let's see how big a newborn must be to be in the top 1% heaviest. First, what is the Z-score you need to use to find the top 1%?
4. How much does that big baby weigh? In other words, what is the value of X such that p(X) < 0.01? (Hint: use the Z-score you found in the last question.) Enter your answer in ounces, not pounds