Amity campus is safe. There are security and students at every corner of the campus, so you will be safe inside the college premises.
As for Noida, the sector where Amity University is located has a lot of other engineering colleges. The crowd and the hustle-bustle settle down as the day ends. It’s best if you don’t travel alone during the night. If you can’t avoid travel, go with a group. It’s a good city to live in but try to be a little cautious too.
Noida is not a different place than the rest of India, it is just located in NCR and that's why it is in the limelight so much. Noida is a part of Uttar Pradesh and it is as safe as the rest of India is. The way of living is not different at all. Everything is mostly similar as in other cities of U.P.
Being a girl if you wear dresses, they will stare at you until you feel uncomfortable. However, in Noida, this kind of unwelcome activity is quite less because it is very common to see girls in dresses in these kinds of big cities.
Another perspective quoted that in the evening if you are going out you should need to take care of your security. With changing times, things are getting better. In urban areas, you can go fearlessly wherever you want but in semi-urban areas, you need to be a little careful in some ways.
If you are getting admission in Amity then the good surrounding regions are Sector 37, 44, 45, 99, 100, 125, and 126. These are the areas where most of the students of Amity stay if you don't get a hostel. The environment of these regions is safe and quite friendly.