A molecule of a gas, filled in a discharge tube, gets ionized when an electron is detached from it. An electric field of `5.0 kV m^(-1)` exists in the vicinity of the event. (a) Find the distance travelled by the free electron in `1 mus` assuming no collision. (b) If the mean free path of the electron is `1.0 mm`, estimate the time of transit of the free electron between successive collisions.