The birthweight in a sample of 50 female babies was recorded and found to be approximately normally distributed with a mean of 7.4 pounds and a standard deviation of 1.6 pounds.

Note: This numbers quoted in this problem were invented for purposes of the exercise. Please do not infer any real-world implications from them!

1. At one OB/GYN practice, a proposed study on MFM (maternal fetal medicine) being conducted, targets 7.5 pounds as an objective. What expected proportion / percentage of babies would be 7.5 or more pounds?
2. What percentage of babies were exactly 7.5 pounds?
3. What percentage of babies were between 6 and 7.5 pounds?
4. Thought Question: While one might intuitively suspect that the birth weights of babies is normally distributed, there are reasons why this assumption is not true -- or at least, is not straight forward. If you were the statistician that was hired to answer the above questions, what issues or problems or might you bring up to your client to explain why the answers that you provide might be limited or flawed? You may feel free to use your favorite search engine for some hints.