A financial planner contacts prospects in the hope of setting up an initial consultation. Initial consultations are used to gather information about the prospect that will be used to propose a plan of insurance and financial investments. Suppose the financial planner contacts thirty prospects and that, based on historical records, 10% of all contacts lead to an initial consultation.

(a) What is the probability that he will setup exactly two initial consultations?
(b) What is the probability that he will setup no initial consultations?
(c) What is the probability that he will setup at least two initial consultations?
(d) What is the probability that he will setup three or more initial consultations?
(e) What is the probability that the first successful initial consultations will happen on the 6thcall?