Select the incorrect statement among following

A system at higher temperature has lesser randomness in it then one at lower temperature.

For isothermal expansion of an ideal gas into vaccum $\mathrm{w}=0,\mathrm{q}=0,\text{ and }\mathrm{\Delta E}=0$

A reversible process proceeds infinitely slowly by a series of equilibrium states such that system and surroundings are always is near equilibrium with each other

For both reversible and irreversible expansion for an ideal gas, under isothermal conditions, $\mathrm{\Delta E}=0\text{ but }{\mathrm{\Delta S}}_{\text{tot }}$is not zero for irreversible process.