which is a characteristic of a weak electrolyte?
it does not dissociate or ionize in water.
it partially dissociates or ionizes in water.
it does not conduct electricity.
it easily conducts electricity.

Electrolytes are compunds that undergo electrolytic dissociation in water, i.e. they disintegrate into million millions (and even more) free floating ions.

A weak electrolytes is still an electrolyte, so it does dissociate, the first answer is wrong.

Electrical current is a co-directed movement of particles with similar charge. Elelctrolyte solution have a lot of ions (charged particles) that are free floating (not locked but moving). To make that movement co-directed, all you have to do is to apply an external magnetic field. Hence all electrolyte solutions are capable of conducting electricity, and so are the weak ones. Answer #3 is wrong.

How easily a certain solution conducts electricity is not defined by nature of the dissolved compound only. There're also tempreture, concentration and a number of other factors in play. Answer #4 is wrong.

Weak electrolytes are weak because they DO dissociate into ions, but do so only parially, in contrast to strong electrolytes which dissociate fully (often 100%). So answer #2 is the right one.