A gift for Tom is randomly hidden at one of n locations. Every time Tom randomly checks a location from all the n locations, i.e. the same location may be checked more than once before Tom finds his gift. Let X be the number of locations Tom checks until he finds the gift.

(a) What is the distribution function of X ?

(b) What is E(X) ?

(c) What is V(X) ? Answer with summation is accepted