Alice, Bob, and Charlotte are looking for but-terflies. They look in three separate parts of a field, so that their probabilities of success do not affect each other.
• Alice finds 1 butterfly with probability 17%, and otherwise does not find one.
• Bob finds 1 butterfly with probability 25%, and otherwise does not find one.
• Charlotte finds 1 butterfly with probability 45%, and otherwise does not find one.
Let X be the number of butterflies that they find altogether. Find K(X).