Consider the scenario where a child buys kid’s meals at a local restaurant in order to complete his collection of superhero action figures. Recall the states were X [k] Ɛ { 0, 1, 2, 3, 4} where X [k] represents the number of distinct action figures collected after meals are purchased.
(a) Find an expression for P0(n)4, the probability of having a complete set if n meals are purchased.
(b) Find the probability that the set is first completed after purchasing meals.
(c) Find the average number of meals that must be purchased to complete the set.