The U.S. Department of Agriculture publishes data on U.S. chicken consumption. The annual chicken consumption, in pounds, for a small city in Alabama, follows a normal distribution with a mean of 52 pounds and a standard deviation of 16 pounds. Use this information to answer the questions that follow.

Let X = annual chicken consumption for a small city in Alabama

 

1. What is the shape of the normal distribution?

2. What proportion of chicken consumption is less than 48.6 pounds?  Give answer to four decimal places.

3. What proportion of chicken consumption is more than 72 pounds?  Give answer to four decimal places.

4. What proportion of chicken consumption is between 34.5 and 99.0 pounds?  Give answer to four decimal places.

5. The city will give the designation to make chicken the "official dinner meat of 2016" if chicken consumption is in the top 2% of consumption values, what must the chicken consumption be in order to have the designation?  Give answer to one decimal place.