Is it normal that i'm unable to sympathize with others?

Such as, I have trouble actually meaning it when I say "I'm sorry for your loss." just as an example. There's also the fact that there's certain situations where I just don't feel the same way, but I'll just agree with them because I don't want to feel weird?

I mean, I've never cried over the death of a family member not felt any remorse of any kind when they passed away. It's just kind of like, "Oh, they're dead. I guess that's it then." I know that's not normal, or, well, I feel that way, and it really bothers me because in situations where I should be upset I'm not unless it's an animal. I could bawl my eyes out over a squirrel that got ran over, but I could know someone for years and be really close to them, but if they die it's just...nothing. I don't get sad, I don't get depressed, it's just blank. I won't even shed a tear for them.

My grandmother has cancer, and my other grandmother has Congestive Heart Failure as Emphysema, but I just accept it as it is I guess. I don't know, I guess I feel bad for not feeling anything when I know I should.