Washing fruits is usually done to remove pesticides, dirt and other bacteria that may be on the fruit but is mostly done in food establishments.
You don't have to wash your fruits at home before eating them if you don't want too and in fact I've eaten apples and other fruits right off of trees after picking them without washing them and have done so for years without getting sick.
Some bacteria is actually good for you and helps to boost your immune system.
So wash the fruits if you want to before eating them but you don't have to wash the fruits if you don't want too.