Questions about lobster

1 How do you tell a lobster's gender ?
Female

The top set of swimmerets (or feelers) on a female’s tail are soft, translucent, and crossed at the tips. A female lobster has a broader tail to accommodate the roe.












Male 

A male’s swimmerets are bony, opaque, and point up toward his body.















source: http://www.finecooking.com/item/38724/how-to-tell-the-sex-of-a-lobster

2 What do lobsters eat?

Lobsters like to eat crabs, clams, mussels, starfish, smaller fish, and sometimes even other lobsters. A lobster does have teeth -- but they are not in its mouth, they are in its stomach. The food is chewed in the stomach between by what look like three molars. These are called the "gastric mill".
  Video ( http://www.youtube.com/watch?v=r-zaGTQMMME )
Source:
 http://www.lobster.um.maine.edu/index.php?page=29

3 Where does lobster live ?
most lobsters live in only the coastal regions around the world. Right after he's born, a very tiny lobster looks nothing like an adult lobster and has a 1/1000 chance of surviving to adulthood. During the first 15 days of his life, he lives in the top three feet of water in the ocean and is extremely vulnerable to predators. During this period he molts three times before moving into the fourth stage as a miniature adult.
During the fourth stage the lobster swims very well and looks for a permanent place to live on the ocean floor. He may choose a home in a softer habitat, such as the salt marsh peat around Cape Cod, but most generally he'll choose a harder spot, such as an area with a cobble (small rocks) bottom. 
The cobble provides many hiding spots where he can just lay around and let food come drifting down to him. The coast of Maine is particularly ideal for this purpose, because the water is clean and cold with a rocky bottom.
Shortly after he molts for his fifth time, he moves to the new location he has found on the ocean bottom. For the first year or so in his new residence, he remains hidden in his tunnel or crevice so that his predators can't find him. As he gets a little larger, say after his first year there, he begins to hide in the kelp and search for food. He'll continue to do this for another three years.
Small lobsters seldom come out in the open. If our lobster were to swim out into the ocean at this point in his life, he'd be eaten by fish within minutes. Only when he gets larger will he move to an area with larger rocks. He may also choose to live in sandy or muddy areas between the shoreline and the edge of the continental shelf. Being a loner, he lives by himself in a crevice or burrow under rocks. 

Source:
 http://www.streetdirectory.com/food_editorials/cooking/seafood_recipes/where_does_a_lobster_live.html

4 Type of lobster live in Maine?

Clawed Lobsters - There are two different species of clawed lobsters, the American lobster and the European lobster. The two types of lobster are similar in size but the European lobsters typically have a darker color and the claws may be slightly smaller. The American Lobsters are found off of the east coast of the United States and Canada. The American Lobster also known as a Maine Lobster, is most common live in restaurants and supermarkets. Clawed lobsters contain more meat then spiny lobsters thus they are most commonly sold live. Clawed lobsters are typically cold water lobsters. Clawed lobsters thrive in cold, shallow waters as far north as New Found land and as far south as North Carolina. Lobsters usually live in deep water in the fall and return to shallower depths in the spring.

Source:
http://www.lobsterhelp.com/types-of-lobster.html